x^2-7x-111=0

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Solution for x^2-7x-111=0 equation: 



x^2-7x-111=0

a = 1; b = -7; c = -111;
Δ = b2-4ac
Δ = -72-4·1·(-111)
Δ = 493
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{-(-7)-\sqrt{493}}{2*1}=\frac{7-\sqrt{493}}{2}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{493}}{2*1}=\frac{7+\sqrt{493}}{2}
$

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