11x(x+10)=132

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Solution for 11x(x+10)=132 equation:



11x(x+10)=132
We move all terms to the left:
11x(x+10)-(132)=0
We multiply parentheses
11x^2+110x-132=0
a = 11; b = 110; c = -132;
Δ = b2-4ac
Δ = 1102-4·11·(-132)
Δ = 17908
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:
$\sqrt{\Delta}=\sqrt{17908}=\sqrt{484*37}=\sqrt{484}*\sqrt{37}=22\sqrt{37}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(110)-22\sqrt{37}}{2*11}=\frac{-110-22\sqrt{37}}{22} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(110)+22\sqrt{37}}{2*11}=\frac{-110+22\sqrt{37}}{22} $

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