Question

Solve (x +9)2 = 25.

Answer 1

Answer:

$x = - 4 \: or \: x = - 14$

Step-by-step explanation:

We have been given the equation

$(x + 9) {}^{2} = 25$

and we are asked to apply the square root property of equality to our given a equation and isolate the variable

First, take the square root of both sides of our equation

$\sqrt{(x + 9) {}^{2} } = \sqrt{25}$

$x + 9 = \: 15$

$x + 9 = 5 \: or \: x + 9 = - 5$

$x + 9 - 9 = 5 - 9 \: or \: x + 9 - 9 = - 5 - 9$

$x = - 4 \: or \: x = - 14$

THEREFORE, THERE ARE TWO SOLUTIONS FOR OUR GIVEN EQUATION

$x + 9 = 5 \: then \: x = - 4. \\ x + 9 = - 5 \: then \: x = - 14$

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