SOLUTION: 5x^2-2x-3=0.find x

Question 762611: 5x^2-2x-3=0.find x
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!
Equation is
We can solve it through factorization.
Any equation of the form , if it has two factors f1 and f2, then f1*f2 = a*c, f1+f2 = b

So the roots are:
or
or
Roots of the equation are and
You can also solve it using the standard quadratic solution formula as described 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=64 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1, -0.6. Here's your graph:

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