10x2-13x-13=0

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Solution for 10x2-13x-13=0 equation:



10x^2-13x-13=0
a = 10; b = -13; c = -13;
Δ = b2-4ac
Δ = -132-4·10·(-13)
Δ = 689
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{689}}{2*10}=\frac{13-\sqrt{689}}{20} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+\sqrt{689}}{2*10}=\frac{13+\sqrt{689}}{20} $

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