x^2+11x+10x-110=0

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Solution for x^2+11x+10x-110=0 equation:



x^2+11x+10x-110=0
We add all the numbers together, and all the variables
x^2+21x-110=0
a = 1; b = 21; c = -110;
Δ = b2-4ac
Δ = 212-4·1·(-110)
Δ = 881
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{-(21)-\sqrt{881}}{2*1}=\frac{-21-\sqrt{881}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+\sqrt{881}}{2*1}=\frac{-21+\sqrt{881}}{2} $

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