SOLUTION: s^2=3 +s(1-4s) solve the given quadratic equation , using the quadratic formula?

Question 632503: s^2=3 +s(1-4s)
solve the given quadratic equation , using the quadratic formula?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!

First let's put it in normal quadratic order.
s^2=3 +s(1-4s) becomes
s2=3+s-4s^2
5s^2-s-3=0

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=61 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.881024967590665, -0.681024967590665. Here's your graph:

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