11+x2=11x

Solution for 11+x2=11x equation:

11+x2=11x

We move all terms to the left:

11+x2-(11x)=0

We add all the numbers together, and all the variables

x^2-11x+11=0

a = 1; b = -11; c = +11;
Δ = b2-4ac
Δ = -112-4·1·11
Δ = 77
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-\sqrt{77}}{2*1}=\frac{11-\sqrt{77}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{77}}{2*1}=\frac{11+\sqrt{77}}{2}
$