SOLUTION: 5x^2-10x^2=-7+x+x^2 help with the solution

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Question 904089: 5x^2-10x^2=-7+x+x^2 help with the solution
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Combine like-terms and use either factoring or the general solution.

-4x%5E2=-7%2Bx
4x%5E2%2Bx-7=0

D=1-4%2A4%2A%28-7%29=113 which is a prime number.

Using the general solution:
highlight%28x=%28-1%2B-sqrt%28113%29%29%2F8%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

5x^2-10x^2=-7+x+x^2 help with the solution


5x%5E2+-+10x%5E2+=+-+7+%2B+x+%2B+x%5E2

-+5x%5E2+=+-+7+%2B+x+%2B+x%5E2

x%5E2+%2B+5x%5E2+%2B+x+-+7+=+0

6x%5E2+%2B+x+-+7+=+0

This quadratic can be factored, so factor it to get the roots.