4
advanced-math

Find the x-coordinates of intersection for y=x2−3xy = x^2 - 3x and y=x−3y = x - 3.

A

1,31, 3

B

1,−31, -3

C

−1,3-1, 3

D

0,30, 3

Correct Answer: A

Choice A is the correct answer.

  1. Set equal: x2−3x=x−3x^2 - 3x = x - 3.
  2. Rearrange: x2−4x+3=0x^2 - 4x + 3 = 0.
  3. Factor: (x−3)(x−1)=0(x - 3)(x - 1) = 0.
  4. Solutions: x=3x = 3 and x=1x = 1.

Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

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Set 13: Quadratic Equations and Functions 13