x^2-75x+36.62=0

Solution for x^2-75x+36.62=0 equation:

x^2-75x+36.62=0

a = 1; b = -75; c = +36.62;
Δ = b2-4ac
Δ = -752-4·1·36.62
Δ = 5478.52
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{-(-75)-\sqrt{5478.52}}{2*1}=\frac{75-\sqrt{5478.52}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+\sqrt{5478.52}}{2*1}=\frac{75+\sqrt{5478.52}}{2}
$