(6-v)(2v-1)=0

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Solution for (6-v)(2v-1)=0 equation:



(6-v)(2v-1)=0
We add all the numbers together, and all the variables
(-1v+6)(2v-1)=0
We multiply parentheses ..
(-2v^2+v+12v-6)=0
We get rid of parentheses
-2v^2+v+12v-6=0
We add all the numbers together, and all the variables
-2v^2+13v-6=0
a = -2; b = 13; c = -6;
Δ = b2-4ac
Δ = 132-4·(-2)·(-6)
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-11}{2*-2}=\frac{-24}{-4} =+6 $
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+11}{2*-2}=\frac{-2}{-4} =1/2 $

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