6x^2-81x-60=0

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Solution for 6x^2-81x-60=0 equation:



6x^2-81x-60=0
a = 6; b = -81; c = -60;
Δ = b2-4ac
Δ = -812-4·6·(-60)
Δ = 8001
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:
$\sqrt{\Delta}=\sqrt{8001}=\sqrt{9*889}=\sqrt{9}*\sqrt{889}=3\sqrt{889}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-81)-3\sqrt{889}}{2*6}=\frac{81-3\sqrt{889}}{12} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-81)+3\sqrt{889}}{2*6}=\frac{81+3\sqrt{889}}{12} $

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