x^2-12.5x-50=0

Solution for x^2-12.5x-50=0 equation:

x^2-12.5x-50=0

a = 1; b = -12.5; c = -50;
Δ = b2-4ac
Δ = -12.52-4·1·(-50)
Δ = 356.25
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{-(-12.5)-\sqrt{356.25}}{2*1}=\frac{12.5-\sqrt{356.25}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12.5)+\sqrt{356.25}}{2*1}=\frac{12.5+\sqrt{356.25}}{2}
$