v(3/5)=6

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Solution for v(3/5)=6 equation:



v(3/5)=6
We move all terms to the left:
v(3/5)-(6)=0
We add all the numbers together, and all the variables
v(+3/5)-6=0
We multiply parentheses
3v^2-6=0
a = 3; b = 0; c = -6;
Δ = b2-4ac
Δ = 02-4·3·(-6)
Δ = 72
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:
$\sqrt{\Delta}=\sqrt{72}=\sqrt{36*2}=\sqrt{36}*\sqrt{2}=6\sqrt{2}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{2}}{2*3}=\frac{0-6\sqrt{2}}{6} =-\frac{6\sqrt{2}}{6} =-\sqrt{2} $
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{2}}{2*3}=\frac{0+6\sqrt{2}}{6} =\frac{6\sqrt{2}}{6} =\sqrt{2} $

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