SOLUTION: what is the solution set of the quadratic equation 3x^2 + 2x = 7?

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Question 852303: what is the solution set of the quadratic equation 3x^2 + 2x = 7?
Answer by LinnW(1048)   (Show Source): You can put this solution on YOUR website!
3x^2 + 2x = 7
add -7 to each side
3x^2 + 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=32 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.82842712474619, -3.82842712474619. Here's your graph:


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