400=0.05v^2+2.2v

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Solution for 400=0.05v^2+2.2v equation:



400=0.05v^2+2.2v
We move all terms to the left:
400-(0.05v^2+2.2v)=0
We get rid of parentheses
-0.05v^2-2.2v+400=0
a = -0.05; b = -2.2; c = +400;
Δ = b2-4ac
Δ = -2.22-4·(-0.05)·400
Δ = 84.84
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{-(-2.2)-\sqrt{84.84}}{2*-0.05}=\frac{2.2-\sqrt{84.84}}{-0.1} $
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.2)+\sqrt{84.84}}{2*-0.05}=\frac{2.2+\sqrt{84.84}}{-0.1} $

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