Question

Which shows the equation below written in the form ax² + bx + c = 0?
x+ 9 = 2(x-1)²

Answer 1

Answer: I hope this helps.

Explanation:

Answer 2

`2x^2 -5x - 7 =0`

Explanation:

We have the equation

`x + 9 = 2(x-1)^2`

`(x-1)^2 = x^2-2x+1` using the formula
`\left(a-b\right)^2=a^2-2ab+b^2`

`x + 9 = 2(x^2-2x\cdot \:1+1^2)` =
`2x^2-4x+2`

Switch sides

`2x^2-4x+2=x+9`

Subtract 9 from both sides

`2x^2-4x+2 - 9=x+9-9`

`2x^2 -4x -7 = x`

Subtract x on both sides

`2x^2 - 4x -7 -x = 0`

`2x^2 - 4x - x -7 = 0`

`2x^2 -5x - 7 =0`

where

`a = 2, b = -5, c = -7`