10x^2-14x-80=0

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Solution for 10x^2-14x-80=0 equation:



10x^2-14x-80=0
a = 10; b = -14; c = -80;
Δ = b2-4ac
Δ = -142-4·10·(-80)
Δ = 3396
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{3396}=\sqrt{4*849}=\sqrt{4}*\sqrt{849}=2\sqrt{849}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-2\sqrt{849}}{2*10}=\frac{14-2\sqrt{849}}{20} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+2\sqrt{849}}{2*10}=\frac{14+2\sqrt{849}}{20} $

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