SOLUTION: Solve using square and diamond or quadratic equation {{{ 20x^2-30x=2x+45 }}}

Question 853650: Solve using square and diamond or quadratic equation

Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!

Add -2x to each side

Add -45 to each side

Below is the quadratic solution.

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=4624 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.5, -0.9. Here's your graph:

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