Question

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

Answer 1

Solution:

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:

$x=0$

$x=\text{-14}$