SOLUTION: How do you solve 2x^2 + 2x = 5 using the quadratic formula, and is there a way to find the exact answer?

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Question 770389: How do you solve 2x^2 + 2x = 5 using the quadratic formula, and is there a way to find the exact answer?
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
2x^2 + 2x = 5
2x^2 + 2x -5 = 0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 2x%5E2%2B2x%2B-5+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%282%29%5E2-4%2A2%2A-5=44.

Discriminant d=44 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-2%2B-sqrt%28+44+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%282%29%2Bsqrt%28+44+%29%29%2F2%5C2+=+1.1583123951777
x%5B2%5D+=+%28-%282%29-sqrt%28+44+%29%29%2F2%5C2+=+-2.1583123951777

Quadratic expression 2x%5E2%2B2x%2B-5 can be factored:
2x%5E2%2B2x%2B-5+=+2%28x-1.1583123951777%29%2A%28x--2.1583123951777%29
Again, the answer is: 1.1583123951777, -2.1583123951777. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B2%2Ax%2B-5+%29