SOLUTION: I can not find the solutions to this problem please help with a way i can come to the answer 2x^2+11x-1=0 thank you

Question 96922: I can not find the solutions to this problem please help with a way i can come to the answer 2x^2+11x-1=0 thank you
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2x^2+11x-1
Use the quadratic formula
a=2; b=11; c=-1
x = [-b +- sqrt(b^2-4ac)]/(2a)
Your problem:
x = [-11 +- sqrt(121-4*2*-1)]/(2*2)
x = [-11 +- sqrt(129)]/4
x = [-11 + sqrt(129)]/4 or x = [-11 - sqrt(129)]/4
===============
Cheers,
Stan H.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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=2, b=11, and c=-1

Square 11 to get 121

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 2 to get 4

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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