SOLUTION: I need to solve by quadratic formula 5x^2+x=3 please help, I am trying to complete a test.

Question 89179This question is from textbook algebra
: I need to solve by quadratic formula
5x^2+x=3
please help, I am trying to complete a test.
This question is from textbook algebra

Found 2 solutions by jim_thompson5910, checkley75:
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
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
5X^2+X-3=0

X=(-1+-SQRT[1^2-4*5*-3])/2*5
X=(-1+-SQRT[1+60])/10
X=(-1+-SQRT61)/10
X=(-1+-7.81)/10
X=(-1+7.81)/10
X=6.81/10
X=.68 ANSWER.
X=(-1-7.81)/10
X=-8.81/10
X=-.88 ANSWER.
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