6r^2-384=0

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Solution for 6r^2-384=0 equation:



6r^2-384=0
a = 6; b = 0; c = -384;
Δ = b2-4ac
Δ = 02-4·6·(-384)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96}{2*6}=\frac{-96}{12} =-8 $
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*6}=\frac{96}{12} =8 $

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