Question

Solve for xxx. Enter the two solutions from least to greatest.(x+7)^2 - 49 = 0

Answer 1

Consider the following quadratic equation:

`(x+7)^2-49=0`

solving for the square, this is equivalent to:

`(x+7)^2=49`

Taking the square root of both sides of the equation, we obtain:

`x+7=\pm\sqrt[]{49}`

this is equivalent to:

`x+7=\pm7`

so, solving for x, we get two solutions:

Solution 1:

`x=-7+7=0`

Solution 2:

`x=-7-7\text{ = -14}`

So that the correct answer is:

`x=0`

`x=\text{-14}`