216=v2

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Solution for 216=v2 equation:



216=v2
We move all terms to the left:
216-(v2)=0
We add all the numbers together, and all the variables
-1v^2+216=0
a = -1; b = 0; c = +216;
Δ = b2-4ac
Δ = 02-4·(-1)·216
Δ = 864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{864}=\sqrt{144*6}=\sqrt{144}*\sqrt{6}=12\sqrt{6}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{6}}{2*-1}=\frac{0-12\sqrt{6}}{-2} =-\frac{12\sqrt{6}}{-2} =-\frac{6\sqrt{6}}{-1} $
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{6}}{2*-1}=\frac{0+12\sqrt{6}}{-2} =\frac{12\sqrt{6}}{-2} =\frac{6\sqrt{6}}{-1} $

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