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Question
Math
Posted 9 months ago
What are the coordinates of the point of intersection between the two curves y=x2y=x^2 and y=2xy=2x?
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Answer from Sia
Posted 9 months ago
Solution by Steps
step 1
Set the two equations equal to each other since they both equal y y
step 2
Solve the equation x2=2x x^2 = 2x for x x
step 3
Factor the equation to find the values of x x : x(x2)=0 x(x - 2) = 0
step 4
Solve for x x to get x=0 x = 0 and x=2 x = 2
step 5
Substitute x=0 x = 0 into either original equation to find y y : y=2(0)=0 y = 2(0) = 0
step 6
Substitute x=2 x = 2 into either original equation to find y y : y=2(2)=4 y = 2(2) = 4
Answer
The points of intersection are (0, 0) and (2, 4).
Key Concept
Finding the intersection of two curves
Explanation
The intersection points of two curves are found by setting the equations equal to each other and solving for the variables.

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