SOLUTION: Factor the polynomial. Please explain and solve: 32n (n is to the second power)

SOLUTION: Factor the polynomial. Please explain and solve: 32n (n is to the second power) - 80n +50

Question 5115: Factor the polynomial. Please explain and solve:
32n (n is to the second power) - 80n +50
Answer by ichudov(507) (Show Source): You can put this solution on YOUR website!

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=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: 1.25, 1.25. Here's your graph:

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