SOLUTION: Solve for "P": 2P^2-2P-5=0

Question 169326: Solve for "P": 2P^2-2P-5=0
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
2P^2-2P-5=0
.
Always try to factor first, failing that you can always use the "quadratic equation". In this case, you can't factor so you must use the quadratic equation.
.
Doing so will yield:
P = {2.158, -1.158}
.
Details of the quadratic 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=44 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.1583123951777, -1.1583123951777. Here's your graph:

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