x^2+101x-1=0

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Solution for x^2+101x-1=0 equation:



x^2+101x-1=0
a = 1; b = 101; c = -1;
Δ = b2-4ac
Δ = 1012-4·1·(-1)
Δ = 10205
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{10205}}{2*1}=\frac{-101-\sqrt{10205}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(101)+\sqrt{10205}}{2*1}=\frac{-101+\sqrt{10205}}{2} $

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