SOLUTION: ( x + 2 )^2 = -7

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Question 765540: ( x + 2 )^2 = -7
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
( x + 2 )^2 = -7
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x+2 = sqrt(7)i or x+2 = -sqrt(7)i
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x = -2+sqrt(7)i or x = -2-sqrt(7)i
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Cheers,
Stan H.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
%28+x+%2B+2+%29%5E2+=+-7
+x%5E2%2B4x+%2B+4+=+-7
+x%5E2%2B4x+%2B+4%2B7+=+0
+x%5E2%2B4x+%2B11=+0

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A1%2A11+%29%29%2F%282%2A1%29+
x+=+%28-4+%2B-+sqrt%28+14-44+%29%29%2F2+
x+=+%28-4+%2B-+sqrt%28+-30+%29%29%2F2+
x+=+%28-4+%2B-+5.48i%29%2F2+
solutions:
x+=+%28-4+%2B5.48i%29%2F2+
x+=+-2%2B2.74i+
and
x+=+%28-4+-5.48i%29%2F2+
x+=+-2-2.74i+

+graph%28600%2C600%2C+-10%2C+10%2C+-5%2C+20%2C+x%5E2%2B4x+%2B11%29+