SOLUTION: Solve (x-3)^2=25 by using the Quadratic Formula. Step by step answers. Thanks!!!!!!!!

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Question 698954: Solve (x-3)^2=25 by using the Quadratic Formula. Step by step answers.


Thanks!!!!!!!!
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28+x+-+3+%29%5E2+=+25+
+x%5E2+-+6x+%2B+9+=+25+
+x%5E2+-+6x+-+16+=+0+
x+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+
+a+=+1+
+b+=+-6+
+c+=+-16+
------------
+x+=+%28+-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2+-+4%2A1%2A%28-16%29%29%29+%2F+%282%2A1%29+
+x+=+%28+6+%2B-+sqrt%28+36+%2B+64+%29%29+%2F+2+
+x+=+%28+6+%2B-+sqrt%28+100+%29%29+%2F+2+
+x+=+%28+6+%2B+10+%29+%2F+2+
+x+=+16%2F2+
+x+=+8+
and, taking the negative square root of +100+
+x+=+%28+6+-+10+%29+%2F+2+
+x+=+-4%2F2+
+x+=+-2+
-------------
check answers:
+%28+x+-+3+%29%5E2+=+25+
+%28+8+-+3+%29%5E2+=+25+
+5%5E2+=+25+
+25+=+25+
and
+%28+-2+-+3+%29%5E2+=+25+
+%28-5%29%5E2+=+25+
+25+=+25+
OK

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Solve (x-3)^2=25 by using the Quadratic Formula. Step by step answers.

%28x+-+3%29%5E2+=+25

x%5E2+-+6x+%2B+9+=+25 ----- x%5E2+-+6x+-+16+=+0

Using the quadratic equation, a = 1; b = - 6; c = - 16.

When solved, you should get: x = 8, or - 2, as seen from the shortcut below.

sqrt%28%28x+-+3%29%5E2%29+=+_%2B-sqrt%2825%29 ----- Taking the square root of both sides

x - 3 = ± 5

x - 3 = 5 ----- x = 5 + 3, or highlight_green%28x+=+8%29

OR

x - 3 = - 5 ---- x = - 5 + 3, or highlight_green%28x+=+-+2%29

You can do the check!!

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