Solve by factoring: $$x ^ { 2 } - x = 7 x - 7$$
A) 1, 7
B) 1, 11
C) -4, 7
D) 1, 5
E) 2, 7

Name: Solve by factoring: \[x ^ { 2 } - x = 7 x - 7\] A) 1, 7 B) 1, 11 C) -4, 7 D) 1, 5 E) 2, 7
Brand: Quizplus
Rating: 4.8 (42 reviews)

Question

Quizplus · Accepted Answer

First, move all terms to one side to get a quadratic equation: $x^2 - x - 7x + 7 = 0$, which simplifies to $x^2 - 8x + 7 = 0$. Factoring this gives $(x - 1)(x - 7) = 0$, so the solutions are $x = 1$ and $x = 7$.

Solve by Factoring x2−x=7x−7x ^ { 2 } - x = 7 x - 7x2−x=7x−7

Solve by Factoring $x ^ { 2 } - x = 7 x - 7$