SOLUTION: Please help me solve this, 5x^2 + 14x = -3

Question 91107: Please help me solve this, 5x^2 + 14x = -3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Add 3 to both sides

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=14, and c=3

Square 14 to get 196

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 5 to get 10

So now the expression breaks down into two parts

or

Now break up the fraction

or

Simplify

or

So these expressions 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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