SOLUTION: the problem is: -3x(squared)+6x+23=0 I understand how to do the formula, but when I try to get my answers for x, they are different then the answer on the answer sheet. Can you

Question 94356: the problem is:
-3x(squared)+6x+23=0
I understand how to do the formula, but when I try to get my answers for x, they are different then the answer on the answer sheet. Can you break down the problem for me please?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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=-3, b=6, and c=23

Square 6 to get 36

Multiply to get

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

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and -3 to get -6

So now the expression breaks down into two parts

or

Now break up the fraction

or

Simplify

or

So these expressions 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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