x^2+12.5x+37.5=0

Solution for x^2+12.5x+37.5=0 equation:

x^2+12.5x+37.5=0

a = 1; b = 12.5; c = +37.5;
Δ = b2-4ac
Δ = 12.52-4·1·37.5
Δ = 6.25
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{6.25}}{2*1}=\frac{-12.5-\sqrt{6.25}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12.5)+\sqrt{6.25}}{2*1}=\frac{-12.5+\sqrt{6.25}}{2}
$