SOLUTION: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer

Question 449460: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
2x^2=-2x+7
x = ?
x = ?
Please show me the steps to get the steps.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
2x2=-2x+7
2x2+2x-7=0

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=60 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.43649167310371, -2.43649167310371. Here's your graph:

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