X^2-15x-82=0

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Solution for X^2-15x-82=0 equation: 



X^2-15X-82=0

a = 1; b = -15; c = -82;
Δ = b2-4ac
Δ = -152-4·1·(-82)
Δ = 553
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{-(-15)-\sqrt{553}}{2*1}=\frac{15-\sqrt{553}}{2}
$


$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{553}}{2*1}=\frac{15+\sqrt{553}}{2}
$

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