11x^2+6x-18=0

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Solution for 11x^2+6x-18=0 equation:



11x^2+6x-18=0
a = 11; b = 6; c = -18;
Δ = b2-4ac
Δ = 62-4·11·(-18)
Δ = 828
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:
$\sqrt{\Delta}=\sqrt{828}=\sqrt{36*23}=\sqrt{36}*\sqrt{23}=6\sqrt{23}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6\sqrt{23}}{2*11}=\frac{-6-6\sqrt{23}}{22} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6\sqrt{23}}{2*11}=\frac{-6+6\sqrt{23}}{22} $

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