Question

Solve the equation algebraically (x-8)^2=25

Answer 1

Hey there!

ANSWER: $x=8,13$

EXPLANATION:

$(x-8)^2=25$

To solve this equation, you will need to simplify both sides.

$x^2-16x+64=25$

Now we will need to minus(subtract) 25 from both sides of the equation.

$x^2-16x+64-25=25-25=x^2-16x+39=0$

Now we will need to factor out the left side.

$(x-3)(x-13)=0$

In our last step, we will need the set factors equal to zero.

$x-3=0\\x-13=0\\x=3(ANSWER)\\x=13(ANSWER)$

Hope this helps!

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