x^2-312x-155=0

Solution for x^2-312x-155=0 equation:

x^2-312x-155=0

a = 1; b = -312; c = -155;
Δ = b2-4ac
Δ = -3122-4·1·(-155)
Δ = 97964
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:

$\sqrt{\Delta}=\sqrt{97964}=\sqrt{4*24491}=\sqrt{4}*\sqrt{24491}=2\sqrt{24491}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-312)-2\sqrt{24491}}{2*1}=\frac{312-2\sqrt{24491}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-312)+2\sqrt{24491}}{2*1}=\frac{312+2\sqrt{24491}}{2}
$