462x2-120x-72=0

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Solution for 462x2-120x-72=0 equation:



462x^2-120x-72=0
a = 462; b = -120; c = -72;
Δ = b2-4ac
Δ = -1202-4·462·(-72)
Δ = 147456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{147456}=384$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-120)-384}{2*462}=\frac{-264}{924} =-2/7 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-120)+384}{2*462}=\frac{504}{924} =6/11 $

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