Question

How do you solve `-2(x+1)^2 = -10`?

Answer 1

`x=+-sqrt5-1`

Explanation:

`color(blue)"Isolate " (x+1)^2`

`"divide both sides by " -2`

`(cancel(-2)(x+1)^2)/cancel(-2)=(-10)/(-2)`

`rArr(x+1)^2=5`

`color(blue)"take the square root of both sides"`

`sqrt((x+1)^2)=+-sqrt5`

`rArrx+1=+-sqrt5`

`rArrx=+-sqrt5-1larrcolor(red)" exact value solutions"`