SOLUTION: Can you please help with this equation? Find the roots of 3x^2+2x-4=0. Thank you so much for your help.

Question 86176: Can you please help with this equation?
Find the roots of 3x^2+2x-4=0.
Thank you so much for your help.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Starting with the general quadratic

the general form of the quadratic equation is:

So lets solve

Plug in a=3, b=2, and c=-4

Square 2 to get 4

Multiply to get

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

Simplify the square root

Multiply 2 and 3 to get 6

So now the expression breaks down into two parts

or

Which approximate to

or

So our solutions are:
or

Notice when we graph we get:

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

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