SOLUTION: (X-3)^2-32=0 I am writing out a different way just in case (X-3)squared -32=0

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Question 1140800: (X-3)^2-32=0
I am writing out a different way just in case
(X-3)squared -32=0
Found 3 solutions by Alan3354, MathLover1, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(X-3)^2-32=0
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You didn't ask a question or make a request.
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If you want to solve for x:
(X-3)^2-32=0
(X-3)^2 = 32
x-3 = sqrt(32)
x-3 = -sqrt(32)
====================
x = 3 + sqrt(32)
x = 3 - sqrt(32)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-3%29%5E2-32=0+
x%5E2-6x%2B9-32=0+
x%5E2-6x-23=0+
use quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%2A1%2A%28-23%29+%29%29%2F%282%2A1%29+
x+=+%286+%2B-+sqrt%2836%2B92+%29%29%2F2+
x+=+%286+%2B-+sqrt%28128+%29%29%2F2+
x+=+%286+%2B-+sqrt%282%2A64+%29%29%2F2+
x+=+%286+%2B-+8sqrt%282+%29%29%2F2+
x+=+%28cross%286%293+%2B-+cross%288%294sqrt%282+%29%29%2Fcross%282%29+
x+=+%283+%2B-+4sqrt%282+%29%29+

solutions:
x+=+3+%2B+4sqrt%282+%29+
x+=+3+-+4sqrt%282+%29+





Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28+x+-+3+%29%5E2+-+32+=+0+
+%28+x+-+3+%29%5E2+=+32+
+%28+x+-+3+%29%5E2+=+2%5E5+
Take the square root of both sides
+x+-+3+=+2%5E%28%285%2F2%29%29+
+x+=+2%5E%285%2F2%29+%2B+3+
+x+=+5.6569+%2B+3+
+x+=+8.6569+
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check:
+%28+8.6569+-+3+%29%5E2+-+32+=+0+
+5.6569%5E2+-+32+=+0+
+32+-+32+=+0+
OK