AI Quadratic Equation Solver

Factor it, formula it, graph it. Any quadratic, solved.

AskSia solves any quadratic equation step-by-step using the method you want: factoring, the quadratic formula, completing the square, or graphing. Every solve comes with a parabola sketch showing the roots, vertex, and axis of symmetry, so the algebra finally matches the picture.

Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
Quick Answer

What is the AskSia quadratic equation solver?

The AskSia quadratic equation solver is an AI tool for Algebra 1, Algebra 2, College Algebra, and Pre-Calc students that solves any ax² + bx + c = 0 with full step-by-step work. Choose the method you're being taught (factoring, the quadratic formula, completing the square, or graphing) or let AskSia pick the cleanest one. Every solve returns the roots, a parabola sketch showing the vertex and axis of symmetry, and the discriminant interpretation (two real roots, one repeated root, or two complex roots).

98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver

Built to teach quadratic equations, not just solve them.

Most solvers spit out the roots. AskSia walks you through whichever method your class is using, then sketches the parabola so the discriminant, vertex, and axis of symmetry stop being abstract.

Three methods, your choice

Factoring, the quadratic formula, or completing the square. AskSia picks the cleanest method based on the discriminant by default, but you can force any of the three when your class is being taught one specifically.

Method selection

Discriminant interpreted

AskSia computes b² minus 4ac and explains what it means: positive gives two real roots, zero gives one repeated root, negative gives two complex conjugate roots. The interpretation appears on every solve.

Discriminant explained

Parabola sketch with vertex

Every solve includes an auto-generated parabola with the roots, vertex, axis of symmetry, and y-intercept labeled. The visual is what makes the algebra match the geometry, especially for vertex-form problems.

Vertex and axis labeled

Complex (imaginary) roots

When the discriminant is negative, AskSia returns the two complex conjugate roots in a + bi form, with the imaginary unit tracked through every step. The parabola sketch shows the curve not crossing the x-axis.

Complex roots in a + bi

Word problems translated

Projectile motion, area, profit-maximization, and geometry word problems are translated into ax² + bx + c = 0, solved, and interpreted in context. AskSia rejects non-physical negative roots automatically on motion problems.

Word problem translator

Snap, paste, or type

Photograph any quadratic from your textbook, paste from an online homework portal, or type into the built-in calculator with full LaTeX support. AskSia reads handwriting and printed text equally well.

Photo, text, equation
How It Works

Three taps to a worked quadratic solution.

Step 01

Capture the equation

Snap a photo, paste the text, or type ax² + bx + c = 0 into the built-in calculator with full LaTeX support. Sia reads handwriting and printed equations alike.

Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02

Pick a method, watch Sia solve

Choose factoring, the quadratic formula, or completing the square, or let Sia pick. Each step is narrated with a plain-English reason, and the arithmetic is symbolically verified before you see the answer.

Calculus · Step 4 of 4
1.4s
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03

See the parabola and roots

AskSia auto-generates the parabola with roots, vertex, and axis of symmetry labeled. Ask Sia follow-up questions or generate practice problems.

Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On

Solve anywhere
you study.

Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.

Web App

Full study studio

Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.

Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
app.asksia.ai/solver
Hi! What are we studying today?
Ask about your homework, lecture, or readings...
Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App

Snap & solve, anywhere

Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.

One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
AskSia
+
What can I do for you?
Homework solver
Live transcribe
File summary
Snap
YouTube
Flashcard
Calc
98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases

Built for every quadratic equation stuck moment.

📐

Algebra 1 and 2 homework

Daily quadratic problems from Algebra 1 and 2, solved by factoring or the quadratic formula. AskSia shows the parabola and labels the roots, vertex, and axis of symmetry.

Algebra 1 and 2
⚛️

College Algebra and Pre-Calc

Quadratics with complex roots, vertex-form conversions, and graphing problems from College Algebra and Pre-Calc. Completing the square shown step-by-step when needed.

College Alg, Pre-Calc
🧪

Quadratic word problems

Projectile motion, area, profit-maximization, and geometry setups. AskSia translates the prose into ax² + bx + c = 0, solves, and interprets the roots back in the original context.

Word problems
🧬

SAT and ACT quadratics

Quadratic questions are SAT and ACT staples. After any solve, generate similar practice problems at SAT or ACT difficulty, with the parabola sketch on every one.

SAT and ACT
💻

Vertex and axis of symmetry

When the homework asks for the vertex, axis of symmetry, or maximum or minimum value, AskSia completes the square or uses the vertex formula and labels everything on the parabola sketch.

Vertex form
🎯

Check your answer

When you have a candidate solution, paste your work and ask Sia to verify. The symbolic check substitutes the roots back into ax² + bx + c = 0 and confirms each side equals zero.

Answer check
Compare

AskSia vs. ChatGPT,
Photomath & Symbolab.

General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.

Feature comparison between AskSia Solver and alternatives
FeatureAskSia SolverChatGPTPhoto Solvers
Solution accuracy✓ 98%~70-85%, hallucinations~90%, math only
Auto-generated diagrams✓ Every solveInconsistent / brokenGraphs only, math-only
Step-by-step explanations✓ Numbered + plain EnglishInconsistent depth✓ Math steps
Subject coverage✓ Math, Physics, Chem, Bio, CS, Econ✓ Wide but unverifiedMath only
Photo input✓ Handwriting + diagrams + codePhotos OK, weak on handwriting✓ Math photos only
Answer verification✓ Self-checked before displayNo verificationMath engine only
Tutor follow-ups✓ Hints, alt methods, ELI5✓ General chatNot available
Practice and flashcards✓ One-tap from any solveManual promptingNot available
Code debugging✓ Python, Java, C++, SQL...✓ YesNot available
Free to start✓ Daily solves, no cardLimited model accessSteps locked behind paywall
FAQ

Frequently asked questions.

How does the AskSia quadratic equation solver work?
Paste, photograph, or type any quadratic equation in the form ax² + bx + c = 0. AskSia identifies the coefficients, picks the cleanest solution method (factoring if the roots are rational, the quadratic formula or completing the square otherwise), and returns a numbered worked solution within seconds. A parabola sketch is auto-generated alongside, with the roots, vertex, and axis of symmetry labeled. You can also force AskSia to use a specific method, useful when your class is being taught one technique.
Which method should I use: factoring, quadratic formula, or completing the square?
It depends on the discriminant b² minus 4ac. If b² minus 4ac is a perfect square and the leading coefficient is small, factoring is fastest. If the discriminant is positive but not a perfect square, the quadratic formula is the most reliable. If you need vertex form for graphing, completing the square is the natural choice. AskSia shows the discriminant value on every solve and picks the cleanest method by default, but you can ask it to walk through any of the three or all three side-by-side.
Can AskSia solve quadratic equations with complex (imaginary) roots?
Yes. When the discriminant b² minus 4ac is negative, AskSia returns the two complex conjugate roots in the form a + bi and a minus bi, with the imaginary unit explicitly tracked through every step. The parabola sketch shows that the curve does not cross the x-axis, which is the visual reason the roots are complex. Useful for College Algebra and Pre-Calc problems where complex roots appear regularly.
Can I solve quadratic word problems with AskSia?
Yes. Photograph or paste the word problem (projectile motion, area problems, profit-maximization, geometry setups) and AskSia translates the prose into the right ax² + bx + c = 0, solves it, and interprets the roots back in the original context. For example, on a projectile problem, AskSia returns when the object hits the ground (positive root) and notes that the negative root is non-physical. Common on SAT, ACT, AP, and college algebra exams.
How accurate is AskSia?
AskSia hits 98% accuracy on standard high school and college coursework, measurably higher than ChatGPT, Photomath, and Symbolab on the same problem sets. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
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Solve any quadratic. See the parabola.

Join 2M+ students using AskSia to solve quadratic equations with step-by-step work, a parabola sketch, and the choice of factoring, the quadratic formula, or completing the square on every problem.

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