SOLUTION: I need to solve this where the x- intercepts please help y=-x^2+6x-2

Question 88998This question is from textbook algebra
: I need to solve this where the x- intercepts
please help
y=-x^2+6x-2 This question is from textbook algebra

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Now let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=-1, b=6, and c=-2

Square 6 to get 36

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root

Multiply 2 and -1 to get -2

So now the expression breaks down into two parts

or

which split up to

or

and simplify to

or

Which approximate to

or

So our solutions are:
or

Notice when we graph , we get:

when we use the root finder feature on a calculator, we find that and .So this verifies our answer
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