75-130.375*x-0.25*x^2=0

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Solution for 75-130.375*x-0.25*x^2=0 equation: 



75-130.375x-0.25x^2=0

a = -0.25; b = -130.375; c = +75;
Δ = b2-4ac
Δ = -130.3752-4·(-0.25)·75
Δ = 17072.640625
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{-(-130.375)-\sqrt{17072.640625}}{2*-0.25}=\frac{130.375-\sqrt{17072.640625}}{-0.5}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-130.375)+\sqrt{17072.640625}}{2*-0.25}=\frac{130.375+\sqrt{17072.640625}}{-0.5}
$

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