SOLUTION: What is the greatest zero of the function {{{f(g)=x^2-25x+66}}}

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Question 239121: What is the greatest zero of the function f%28g%29=x%5E2-25x%2B66
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
(I assume you mean) f%28x%29=x%5E2-25x%2B66
The roots (or zeros) of a function are the x values that make the function value a zero. So we are solving
0=x%5E2-25x%2B66

To find the roots (or zeros) of a quadratic function like this one, you can use the quadratic formula or, if it's possible, use factoring. This quadratic factors pretty easily so that's what I'll use.
Factor the right side:
0+=+%28x-22%29%28x-3%29
The Zero Product Property tells us that this or any product can be zero only if one or more of the factors is zero. This tells us that:
x-22+=+0 or x+-+3+=+0
Solving each of these we get:
x+=+22 or x+=+3
The largest root (or zero) of the equation, therefore, is 22.

(Note: If you choose to use the quadratic formula, you will get the same answers (if you use it correctly).)