SOLUTION: 2x^2=3x+3

Question 147128: 2x^2=3x+3
Found 2 solutions by nabla, jim_thompson5910:
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
2x^2=3x+3
2x^2-3x-3=0
Apply quadratic formula.

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=33 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.18614066163451, -0.686140661634507. Here's your graph:

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Get all terms to the left side.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

or Break up the expression.

So our answers are or

which approximate to or

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