12x^2-84x-110=0

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Solution for 12x^2-84x-110=0 equation:



12x^2-84x-110=0
a = 12; b = -84; c = -110;
Δ = b2-4ac
Δ = -842-4·12·(-110)
Δ = 12336
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:
$\sqrt{\Delta}=\sqrt{12336}=\sqrt{16*771}=\sqrt{16}*\sqrt{771}=4\sqrt{771}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-84)-4\sqrt{771}}{2*12}=\frac{84-4\sqrt{771}}{24} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-84)+4\sqrt{771}}{2*12}=\frac{84+4\sqrt{771}}{24} $

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