x^2+11x-522=0

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Solution for x^2+11x-522=0 equation:



x^2+11x-522=0
a = 1; b = 11; c = -522;
Δ = b2-4ac
Δ = 112-4·1·(-522)
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-47}{2*1}=\frac{-58}{2} =-29 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+47}{2*1}=\frac{36}{2} =18 $

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