SOLUTION: what are the roots of 6x^2+12x=-5

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Question 608196: what are the roots of 6x^2+12x=-5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
6x%5E2%2B12x=-5

6x%5E2%2B12x%2B5=0

Now use the quadratic formula to solve for x

x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29

x+=+%28-%2812%29%2B-sqrt%28%2812%29%5E2-4%286%29%285%29%29%29%2F%282%286%29%29

x+=+%28-12%2B-sqrt%28144-%28120%29%29%29%2F%2812%29

x+=+%28-12%2B-sqrt%2824%29%29%2F12

x+=+%28-12%2Bsqrt%2824%29%29%2F12 or x+=+%28-12-sqrt%2824%29%29%2F12

x+=+%28-12%2B2%2Asqrt%286%29%29%2F12 or x+=+%28-12-2%2Asqrt%286%29%29%2F12

x+=+%28-6%2Bsqrt%286%29%29%2F6 or x+=+%28-6-sqrt%286%29%29%2F6


So the exact roots are x+=+%28-6%2Bsqrt%286%29%29%2F6 or x+=+%28-6-sqrt%286%29%29%2F6

The approximate roots are then x+=+-0.59175 or x+=+-1.408248
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