SOLUTION: {{{z^2-13z+36=0}}}

Question 18987:
Answer by Alwayscheerful(414) (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=25 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 9, 4. Here's your graph:

Hope this helps!
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