27x^2-9x-60=0

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Solution for 27x^2-9x-60=0 equation:



27x^2-9x-60=0
a = 27; b = -9; c = -60;
Δ = b2-4ac
Δ = -92-4·27·(-60)
Δ = 6561
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6561}=81$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-81}{2*27}=\frac{-72}{54} =-1+1/3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+81}{2*27}=\frac{90}{54} =1+2/3 $

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