AI Second Degree Equation Solver

Second degree, second nature. Any ax² + bx + c, solved.

Solve any second degree equation ax² + bx + c = 0 step-by-step. AskSia picks the cleanest method (factoring for rational roots, the quadratic formula for irrational or complex, completing the square for vertex form) and graphs the parabola with both roots labeled.

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 second degree equation solver?

The AskSia second degree equation solver is an AI tool that solves any equation of the form ax² + bx + c = 0, where 'second degree' refers to the highest power of the variable being 2. Also called a quadratic equation. AskSia identifies the coefficients a, b, c, computes the discriminant b² minus 4ac, interprets its sign (positive: two real roots, zero: one repeated root, negative: two complex roots), and picks the cleanest method to find the roots. The parabola is graphed with both roots and the vertex labeled.

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

Second degree equations, the cleanest method every time.

Factoring for rational roots, the quadratic formula for everything else, completing the square for vertex form. AskSia picks based on the discriminant.

Discriminant guides method selection

AskSia computes b² minus 4ac first. If the discriminant is a perfect square, factoring works. If positive but not a perfect square, the formula gives exact irrational roots. If negative, complex roots in a + bi form.

Method by discriminant

Factoring shown explicitly

For factorable trinomials, AskSia shows the factor pair search: numbers that multiply to ac and add to b. The two binomial factors are written out, and each factor is set to zero to find the roots.

Factoring explicit

Quadratic formula with simplified radicals

When factoring doesn't work cleanly, AskSia applies x = (-b ± √(b² - 4ac))/(2a). The radical is simplified (factoring out perfect squares), and the plus and minus cases are shown as two separate computations.

Formula with simplification

Completing the square on demand

For vertex form conversions or when your assignment requires it, AskSia walks through completing the square: half the b-coefficient, square it, add to both sides, factor the perfect square trinomial.

Completing the square

Complex roots in a + bi

When the discriminant is negative, AskSia returns complex conjugate roots in a + bi form. The imaginary unit i = √(-1) is tracked, and the parabola sketch shows the curve not crossing the x-axis.

Complex roots

Parabola with vertex labeled

Every solve includes the parabola y = ax² + bx + c with both roots labeled at the x-axis, the vertex at x = -b/(2a) labeled, the axis of symmetry drawn, and the y-intercept marked.

Vertex labeled
How It Works

Three taps to a solved second degree equation.

Step 01

Capture the equation

Snap a photo, paste, or type the equation ax² + bx + c = 0 (or any equivalent form). AskSia rearranges into standard form if needed.

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

Watch Sia pick the method and solve

AskSia computes the discriminant, picks the cleanest method, and walks through the solve step-by-step. The reasoning for the method choice is shown at the start.

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

Both roots in exact and decimal form, with the parabola graphed and the roots, vertex, and axis of symmetry labeled. Generate practice problems or ask follow-up questions.

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

Every second degree equation, covered.

📐

Algebra 1 quadratic basics

First-time second degree equations with small integer coefficients. AskSia walks through factoring or the formula clearly, with the parabola included.

Algebra 1
⚛️

Algebra 2 with complex roots

Second degree equations where the discriminant is negative. AskSia handles complex conjugate roots in a + bi form, with the imaginary unit tracked.

Algebra 2
🧪

Completing the square for vertex form

Converting ax² + bx + c into a(x minus h)² + k by completing the square. AskSia walks through each algebraic move, useful for graphing problems.

Vertex form
🧬

Word problems

Projectile motion, area maximization, and profit problems that reduce to a second degree equation. AskSia translates the prose, solves, and interprets in context.

Word problems
💻

Discriminant questions

When the problem asks 'how many real solutions?' or 'find values of k so the equation has two real roots,' AskSia analyzes the discriminant as a function of the parameter.

Discriminant analysis
🎯

SAT, ACT, AP prep

Second degree equations are SAT, ACT, and AP staples. After any solve, generate practice problems at the right difficulty level.

Exam prep
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.

What is a second degree equation?
A second degree equation is an equation in which the highest power of the variable is 2. The standard form is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0. Also called a quadratic equation. The 'second degree' refers to the exponent 2 on the x² term. Second degree equations are the most-studied equation type in high school algebra because they have a clean general solution (the quadratic formula) and they graph as parabolas, connecting algebra to geometry.
Why does AskSia compute the discriminant first?
The discriminant b² minus 4ac determines the nature of the roots before any further work is done. If b² minus 4ac is a perfect square, the roots are rational and factoring is the fastest method. If b² minus 4ac is positive but not a perfect square, the roots are irrational and the quadratic formula gives clean exact answers. If b² minus 4ac is zero, there is one repeated root, and any method works. If b² minus 4ac is negative, the roots are complex conjugates, and the quadratic formula is needed. AskSia computes the discriminant first to pick the right method.
Can AskSia convert a second degree equation to vertex form?
Yes. The vertex form is a(x minus h)² + k, where (h, k) is the vertex of the parabola. AskSia converts ax² + bx + c into vertex form by completing the square: factor out a from the first two terms, take half the new coefficient of x, square it, add and subtract that value inside, factor the perfect square, and simplify. The vertex (h, k) appears directly in the result, useful for graphing and for finding the maximum or minimum value.
What does it mean when a second degree equation has complex roots?
It means the discriminant b² minus 4ac is negative. Algebraically, you have a square root of a negative number, which is handled with the imaginary unit i = √(-1). The roots come in conjugate pairs a + bi and a minus bi (where a = -b/(2a) and b = √(4ac - b²)/(2a)). Geometrically, the parabola y = ax² + bx + c does not cross the x-axis, which is the visual reason there are no real roots. Complex roots appear constantly in Algebra 2, College Algebra, and Pre-Calc problems on complex numbers.
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.
Start Today

Any second degree equation. Solved cleanly.

Join 2M+ students using AskSia to solve second degree (quadratic) equations with the cleanest method, the discriminant interpreted, and the parabola graphed with roots labeled.

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