SOLUTION: solve by using the quadratic formula x^2/2-x=3/4

Question 170239: solve by using the quadratic formula x^2/2-x=3/4
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
solve by using the quadratic formula x^2/2-x=3/4
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x^2 - 2x -3/2 = 0

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=10 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.58113883008419, -0.58113883008419. Here's your graph:

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