11x(2x-1)=118

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Solution for 11x(2x-1)=118 equation:



11x(2x-1)=118
We move all terms to the left:
11x(2x-1)-(118)=0
We multiply parentheses
22x^2-11x-118=0
a = 22; b = -11; c = -118;
Δ = b2-4ac
Δ = -112-4·22·(-118)
Δ = 10505
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{10505}}{2*22}=\frac{11-\sqrt{10505}}{44} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{10505}}{2*22}=\frac{11+\sqrt{10505}}{44} $

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