x^2+24x+11=0

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Solution for x^2+24x+11=0 equation:



x^2+24x+11=0
a = 1; b = 24; c = +11;
Δ = b2-4ac
Δ = 242-4·1·11
Δ = 532
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:
$\sqrt{\Delta}=\sqrt{532}=\sqrt{4*133}=\sqrt{4}*\sqrt{133}=2\sqrt{133}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-2\sqrt{133}}{2*1}=\frac{-24-2\sqrt{133}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+2\sqrt{133}}{2*1}=\frac{-24+2\sqrt{133}}{2} $

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