50=0,006v^2+0,3v

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Solution for 50=0,006v^2+0,3v equation:



50=0.006v^2+0.3v
We move all terms to the left:
50-(0.006v^2+0.3v)=0
We get rid of parentheses
-0.006v^2-0.3v+50=0
a = -0.006; b = -0.3; c = +50;
Δ = b2-4ac
Δ = -0.32-4·(-0.006)·50
Δ = 1.29
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-0.3)-\sqrt{1.29}}{2*-0.006}=\frac{0.3-\sqrt{1.29}}{-0.012} $
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.3)+\sqrt{1.29}}{2*-0.006}=\frac{0.3+\sqrt{1.29}}{-0.012} $

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