X2-11x-24=0

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Solution for X2-11x-24=0 equation:



X2-11X-24=0
We add all the numbers together, and all the variables
X^2-11X-24=0
a = 1; b = -11; c = -24;
Δ = b2-4ac
Δ = -112-4·1·(-24)
Δ = 217
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{-(-11)-\sqrt{217}}{2*1}=\frac{11-\sqrt{217}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{217}}{2*1}=\frac{11+\sqrt{217}}{2} $

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