Ada draws the graph of y = x2 – x – 2 and y = 2x – 1 on the same axes. Which of these equations is she solving?

A. x² – x – 3 = 0
B. x² – 3x – 1 = 0
C. x² – 3x – 3 = 0
D. x² + 3x – 1 = 0

Correct Answer: Option D

D. x² + 3x – 1 = 0

Explanation

Given; y = x² – x – 2, y = 2x – 1

Using y = y, gives

x² – x – 2 = 2x – 1

x² – 3x – 2 + 1 = 0

therefore, x² – 3x – 1 = 0