SOLUTION: How would you solve the following equation by using the quadratic formula? {{{3/4x^2=1/2x+1/3}}} Thanks!

Question 168794: How would you solve the following equation by using the quadratic formula?

Thanks!
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!

Multiply both sides by 12x^2 to get:

Now, you can apply your quadratic equation to get the solution of:
x ={0.927, -2.427}
.
Details below:

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=180 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.927050983124842, -2.42705098312484. Here's your graph:

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