X2+11x+11=0

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Solution for X2+11x+11=0 equation:



X2+11X+11=0
We add all the numbers together, and all the variables
X^2+11X+11=0
a = 1; b = 11; c = +11;
Δ = b2-4ac
Δ = 112-4·1·11
Δ = 77
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{77}}{2*1}=\frac{-11-\sqrt{77}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{77}}{2*1}=\frac{-11+\sqrt{77}}{2} $

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