SOLUTION: All solutions are real numbers 5n^2=-12n-1

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Question 34497: All solutions are real numbers
5n^2=-12n-1
Answer by Cintchr(481) About Me  (Show Source):
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+5n%5E2=-12n-1+
Move all parts to the left side
+5n%5E2%2B12n%2B1=0+
Use the quadratic equation...
+x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
Substitute
a=5
b=12
c=1
+x+=+%28-12+%2B-+sqrt%28+12%5E2-4%2A5%2A1+%29%29%2F%282%2A5%29+
Work the equation
+x+=+%28-12+%2B-+sqrt%28+144-4%2A5%2A1+%29%29%2F%282%2A5%29+
+x+=+%28-12+%2B-+sqrt%28+144-20+%29%29%2F%282%2A5%29+
+x+=+%28-12+%2B-+sqrt%28+124+%29%29%2F%282%2A5%29+
+x+=+%28-12+%2B-+sqrt%28+124+%29%29%2F%2810%29+
Root out the 124
+x+=+%28-12+%2B-+2sqrt%28+31+%29%29%2F%2810%29+
reduce the coefficients
+x+=+%28-6+%2B-+sqrt%28+31+%29%29%2F%285%29+
DONE