x^2-4x=11
First you take away the 11 so you have a quadratic.
x^2-4x-11=0
Now you factorise.
Since 11 is a prime number we shall have to use the quadratic equation:
a=1
b=-4
c=-11
Your two possible solutions are:
x=5.87....
or
x=-1.87....
You can use the Quadratic Formula as previously illustrated. You can also 'complete the square'
Take 1/2 of the 'x' coefficient, square itn and add it to both sides:
x^2 -4x + (-2^2) = 11 + (-2^2)
x^2 -4x +4 = 15
(x-2)^2 = 15 Now take the sqrt of both sides
x-2 = +- sqrt15
x = 2 + or - sqrt15 (same answers as Quadratic Formula)