Using the quadratic formula to solve 11x^2 - 4x = 1, what are the values of x?

In order to get the a,b,c values for the quadratic formula we need to put the equation in standered form: 


We can do this by subtracting 1 from both sides: 


Now we have: 


a=11, b=-4, c=-1 

Now you use the quadratic formula: 


Now plug in the values of a,b,c


Simplify it: 


You can further simplify the given equation to get a final answer of: 


or