SOLUTION: Can someone please help? Solve 3x^2-5x-7=0 Find x intercepts of f(x)=3x^2-5x-7 Thanks.

Question 132297: Can someone please help?
Solve 3x^2-5x-7=0
Find x intercepts of f(x)=3x^2-5x-7
Thanks.
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=-5, and c=-7

Negate -5 to get 5

Square -5 to get 25 (note: remember when you square -5, you must square the negative as well. This is because .)

Multiply to get

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

Multiply 2 and 3 to get 6

Now break up the expression

or

So these expressions approximate to

or

So our solutions are:
or

So that means that the x-intercepts are

(-0.9067,0) and (2.5734,0)

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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