x^2-118x-57=0

Solution for x^2-118x-57=0 equation:

x^2-118x-57=0

a = 1; b = -118; c = -57;
Δ = b2-4ac
Δ = -1182-4·1·(-57)
Δ = 14152
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:

$\sqrt{\Delta}=\sqrt{14152}=\sqrt{4*3538}=\sqrt{4}*\sqrt{3538}=2\sqrt{3538}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-118)-2\sqrt{3538}}{2*1}=\frac{118-2\sqrt{3538}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-118)+2\sqrt{3538}}{2*1}=\frac{118+2\sqrt{3538}}{2}
$