SOLUTION: I am a parent trying to help my student and she has to show her work. f(x)=x to the second power -8x+3 Approximate the zeros of the functi

Question 733508: I am a parent trying to help my student and she has to show her work. f(x)=x to the second power -8x+3
Approximate the zeros of the function to the nearest tenth.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
f(x)=x^2 - 8x + 3
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=52 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7.60555127546399, 0.394448724536011. Here's your graph:

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