SOLUTION: the sum of positive number and its square is 77.Find the number.

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Question 774952: the sum of positive number and its square is 77.Find the number.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+n%5E2+%2B+n+=+77+
+n%5E2+%2B+n+%2B+%281%2F2%29%5E2+=+77+%2B+%281%2F2%29%5E2+
+n%5E2+%2B+n+%2B+1%2F4+=+77+%2B+1%2F4+
+%28+n+%2B+1%2F2+%29%5E2+=+309%2F4+
+n+%2B+1%2F2+=+sqrt%28+309%2F4+%29+
+n+=+sqrt%28+77.25+%29+-+.5+
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check answer:
+n%5E2+%2B+n+=+77+
+%28+sqrt%28+77.25+%29+-+.5+%29%5E2+%2B+sqrt%28+77.25+%29+-+.5+=+77+
+77.25+-+sqrt%28+77.25+%29+%2B+.25+%2B+sqrt%28+77.25+%29+-+.5+=+77+
+77.25+%2B+.25+-+.5+=+77+
+77+=+77+
OK