SOLUTION: f(x)=x^(2)-6x-2 how to solve

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Question 462630: f(x)=x^(2)-6x-2 how to solve
Answer by math-vortex(648)   (Show Source): You can put this solution on YOUR website!
Solve f(x)=x^(2)-6x-2
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When you say, "solve," I'm thinking that you want to know the values of x where f(x)=0.
.
Let f(x) = 0. Then we have
.
x^2 - 6x - 2 = 0
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This is a quadratic equation, so we have two solution methods available: we can use the factoring method, or we can apply the quadratic formula. I don't see an obvious way to factor the left-hand side, so we'll use the quadratic formula.
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The equation is already in the general (standard) form,
ax^2 + bx + c = 0
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We have
a = 1
b = -6
c = -2
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Now, we apply the quadratic formula,

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We substitute the values for a, b, and c from our quadratic equation into the formula.

.
Now we simplify,

.

.

.

.
The "plus or minus" in the formula give us two roots; either

or

.
Here is a graph of your equation:
.

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hope this helps! If you have questions, feel free to email me at math.in.the.vortex@gmail.com
.
Ms.Figgy
math.in.the.vortex

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