SOLUTION: what is the quadratic formula for 2x^2 - 11x - 1 = 0

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Question 228745: what is the quadratic formula for 2x^2 - 11x - 1 = 0
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: Quadratic Formula
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




Negate -11 to get 11




Square -11 to get 121 (note: remember when you square -11, you must square the negative as well. This is because .)




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 the solutions are:

or



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