6v^2-60v-144=0

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Solution for 6v^2-60v-144=0 equation:



6v^2-60v-144=0
a = 6; b = -60; c = -144;
Δ = b2-4ac
Δ = -602-4·6·(-144)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-84}{2*6}=\frac{-24}{12} =-2 $
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+84}{2*6}=\frac{144}{12} =12 $

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