3m2=108m

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Solution for 3m2=108m equation:



3m^2=108m
We move all terms to the left:
3m^2-(108m)=0
a = 3; b = -108; c = 0;
Δ = b2-4ac
Δ = -1082-4·3·0
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-108)-108}{2*3}=\frac{0}{6} =0 $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-108)+108}{2*3}=\frac{216}{6} =36 $

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