Question

Which of the following are solutions to the equation below?

Check all that apply.
9x2 - 2x + 25 = 8x2 + 8x

A.25
B.4
C.5
D.-5
E.-3
F.6

Answer 1

C. 5

Explanation:

`9x^2 - 2x + 25 = 8x^2 + 8x\\\\9x^2 - 2x + 25 - 8x^2 - 8x = 0\\\\x^2-10x+25=0\\\\x^2-2\cdot x\cdot5+5^2=0\\\\(x-5)^2=0\\\\x-5=0\\\\x=5`