SOLUTION: 2x+3=4x^2

Question 146048: 2x+3=4x^2
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
2x+3=4x^2
0 = 4x^2 - 2x - 3
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First, consider factoring -- if that doesn't work, you must use the quadratic equation.
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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=52 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.151387818866, -0.651387818865997. Here's your graph:

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