SOLUTION: find the x-intercepts y=x^2+5x+2

Question 102538: find the x-intercepts
y=x^2+5x+2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To find the x-intercepts, let y=0 and solve for x

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=1, b=5, and c=2

Square 5 to get 25

Multiply to get

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

Multiply 2 and 1 to get 2

So now the expression breaks down into two parts

or

Now break up the fraction

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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