20x^2-101x-10000=0

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Solution for 20x^2-101x-10000=0 equation: 



20x^2-101x-10000=0

a = 20; b = -101; c = -10000;
Δ = b2-4ac
Δ = -1012-4·20·(-10000)
Δ = 810201
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{-(-101)-\sqrt{810201}}{2*20}=\frac{101-\sqrt{810201}}{40}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-101)+\sqrt{810201}}{2*20}=\frac{101+\sqrt{810201}}{40}
$

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