SOLUTION: 2x^2+5x-1 Find the x-intercepts for the function. x^2+5/2x=1/2 is where I am at now. I don't know how to get the next step to get the answer.

Question 526361: 2x^2+5x-1
Find the x-intercepts for the function.
x^2+5/2x=1/2 is where I am at now. I don't know how to get the next step to get the answer.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To find the x-intercepts of , we need to solve for x.

Start with the given equation.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

or Break up the expression.

So the exact solutions are or

which approximate to or (by using a calculator)

So the x-intercepts are (0.186, 0) and (-2.686, 0)
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