SOLUTION: X²+2x+6=0

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Question 1011480: X²+2x+6=0
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E2+%2B+2x+%2B+6+=+0+
You can complete the square
+x%5E2+%2B+2x+=+-6+
+x%5E2+%2B+2x+%2B+%282%2F2%29%5E2+=+-6+%2B+%282%2F2%29%5E2+
+x%5E2+%2B+2x+%2B+1+=+-6+%2B+1+
+%28+x+%2B+1+%29%5E2+=+-5+
Take the square root of both sides
+x+%2B+1+=+%2B+sqrt%285%29%2Ai+
+x+=+-1+%2B+sqrt%285%29%2Ai+
and, also
+x+=+-1+-+sqrt%285%29%2Ai+
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I will check one of these answers and
you can check the other one
+x%5E2+%2B+2x+%2B+6+=+0+
+%28+-1+%2B+sqrt%285%29%2Ai+%29%5E2+%2B+2%2A%28+-1+%2B+sqrt%285%29%2Ai+%29+%2B+6+=+0+
+1+-+2%2Asqrt%285%29%2Ai+-+5+-+2+%2B+2%2Asqrt%285%29%2Ai+%2B+6+=+0+
+1+-+5+-+2+%2B+6++-+2%2Asqrt%285%29%2Ai+%2B+2%2Asqrt%285%29%2Ai+=+0+
+0+=+0+
OK