Question

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

Answer 1

The correct answers for x would be
`(2 +/- √(15) )/(11)`.

In order to find this, we must first get the equation to equal 0. In order to do that, subtract 1 from each side to get the following.

11
`x^(2)` - 4x - 1 = 0

Knowing this we can now use the quadratic equation using a = 11, b = -4 and c = -1. The quadratic equation is below.


`\frac{-b +/- \sqrt{ b^(2) - 4ac} }{2a}`

Now we can plug the values into the equation to solve.


`\frac{4 +/- \sqrt{ -4^(2) - 4(11)(-1)} }{2(11)}`

Then simplify using the order of operations.


`(2 +/- √(15) )/(11)`.