Question

Look at the quadratic equation below.

x2 - 6x - 7 = 3x + 2

What is this quadratic equation written in standard form?

A. x2 - 3x - 5 = 0
B. x2 - 3x - 9 = 0
C. x2 - 9x - 9 = 0
D. x2 - 9x - 5 = 0

Answer 1

C

Explanation:

To write the quadratic in standard form, make one side equal to 0 using inverse operations. We use inverse operations to move terms on one side to the other.

`x^2-6x-7=3x+2\\\\Subtract 3x\\x^2-6x-3x-7=3x-3x+2\\\\Subtract 2\\x^2-9x-7-2=2-2\\\\x^2-9x-9=0`