X^2-200x+5.874=0

Solution for X^2-200x+5.874=0 equation:

X^2-200X+5.874=0

a = 1; b = -200; c = +5.874;
Δ = b2-4ac
Δ = -2002-4·1·5.874
Δ = 39976.504
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{-(-200)-\sqrt{39976.504}}{2*1}=\frac{200-\sqrt{39976.504}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-200)+\sqrt{39976.504}}{2*1}=\frac{200+\sqrt{39976.504}}{2}
$