SOLUTION: z ( Z-9) = -2

Question 237535: z ( Z-9) = -2
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
z ( z-9) = -2
z^2-9z=-2
z^2-9z+2=0
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Ed
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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=73 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 8.77200187265877, 0.227998127341235. Here's your graph:

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