SOLUTION: solve using quadratic formula 6x^2 + 9 = -4x

Algebra ->  Square-cubic-other-roots -> SOLUTION: solve using quadratic formula 6x^2 + 9 = -4x      Log On


   



Question 762469: solve using quadratic formula 6x^2 + 9 = -4x
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

6x%5E2+%2B+9+=+-4x
6x%5E2+%2B4x%2B+9+=+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%2A6%2A9+%29%29%2F%282%2A6%29+
x+=+%28-4+%2B-+sqrt%28+16-216%29%29%2F12+
x+=+%28-4+%2B-+sqrt%28+-200%29%29%2F12+
x+=+%28-4+%2B-+sqrt%28+-2%2A100%29%29%2F12+

x+=+%28-4+%2B-+10sqrt%282%29%2Ai%29%2F12+
solutions:
x+=+%28-4+%2B+10sqrt%282%29%2Ai%29%2F12+

x+=+-4%2F12+%2B+10sqrt%282%29%2Ai%2F12+

x+=+-1%2F3+%2B+5sqrt%282%29i%2F6+
or

x+=+%28-4+-+10sqrt%282%29%2Ai%29%2F12+

x+=+-4%2F12+-+10sqrt%282%29%2Ai%2F12+

x+=+-1%2F3+-+5sqrt%282%29i%2F6+