SOLUTION: Solve using quadratic formula. Having trouble any help appreciated. 5x^2+x=3 Thanks,

Question 89170: Solve using quadratic formula. Having trouble any help appreciated.
5x^2+x=3
Thanks,
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Subtract 3 from both sides

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=5, b=1, and c=-3

Square 1 to get 1

Multiply to get

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

Simplify the square root

Multiply 2 and 5 to get 10

So now the expression breaks down into two parts

or

which split up 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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