x^2-30x-11=0

Solution for x^2-30x-11=0 equation:

x^2-30x-11=0

a = 1; b = -30; c = -11;
Δ = b2-4ac
Δ = -302-4·1·(-11)
Δ = 944
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{944}=\sqrt{16*59}=\sqrt{16}*\sqrt{59}=4\sqrt{59}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-4\sqrt{59}}{2*1}=\frac{30-4\sqrt{59}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+4\sqrt{59}}{2*1}=\frac{30+4\sqrt{59}}{2}
$