x^2-13X-210=0

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Solution for x^2-13X-210=0 equation:



x^2-13x-210=0
a = 1; b = -13; c = -210;
Δ = b2-4ac
Δ = -132-4·1·(-210)
Δ = 1009
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{-(-13)-\sqrt{1009}}{2*1}=\frac{13-\sqrt{1009}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+\sqrt{1009}}{2*1}=\frac{13+\sqrt{1009}}{2} $

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