x^2-50x-225=0

Solution for x^2-50x-225=0 equation:

x^2-50x-225=0

a = 1; b = -50; c = -225;
Δ = b2-4ac
Δ = -502-4·1·(-225)
Δ = 3400
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:

$\sqrt{\Delta}=\sqrt{3400}=\sqrt{100*34}=\sqrt{100}*\sqrt{34}=10\sqrt{34}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-10\sqrt{34}}{2*1}=\frac{50-10\sqrt{34}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+10\sqrt{34}}{2*1}=\frac{50+10\sqrt{34}}{2}
$