SOLUTION: Hi. Can you please show me how to work this problem: Solve with square root property: (x-5)^2 = 64 I answered 13 and it was incorrect. The answer is (-3, 13). Is this because

Algebra ->  Equations -> SOLUTION: Hi. Can you please show me how to work this problem: Solve with square root property: (x-5)^2 = 64 I answered 13 and it was incorrect. The answer is (-3, 13). Is this because       Log On


   

Question 882799: Hi. Can you please show me how to work this problem:
Solve with square root property:
(x-5)^2 = 64
I answered 13 and it was incorrect. The answer is (-3, 13). Is this because there is a negative in the equation x-5 ?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28%28x-5%29%5E2%29=sqrt%288%2A8%29
x-5=0%2B-+8
x=5%2B-+8
Either x=-3 Or x=13

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +%28+x-5+%29%5E2+=+8%5E2+
and also
(2) +%28+x-5+%29%5E2+=+%28-8%29%5E2+
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Take the square root of both sides
for (1) and (2)
(1) +x+-+5+=+8+
(1) +x+=+13+
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and, also
(2) +x+-+5+=+-8+
(2) +x+=+-3+
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Both answers are correct