SOLUTION: find the real common solution for -3x^2+18x-12

Question 334996: find the real common solution for -3x^2+18x-12

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Use the quadratic formula to get:

Solved by pluggable solver: Quadratic Formula

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=18, and c=-12

Square 18 to get 324

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 the solutions are:

or

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