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

User SMNALLY
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1 Answer

3 votes

Hey there!

ANSWER:
x=8,13

Step-by-step 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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User Hkyi
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