456=12(3.4)v2

Solution for 456=12(3.4)v2 equation:

456=12(3.4)v2

We move all terms to the left:

456-(12(3.4)v2)=0


We calculate terms in parentheses: -(12(3.4)v2), so:

12(3.4)v2

We multiply parentheses

40.8v^2

Back to the equation:

-(40.8v^2)


We get rid of parentheses

-40.8v^2+456=0

a = -40.8; b = 0; c = +456;
Δ = b2-4ac
Δ = 02-4·(-40.8)·456
Δ = 74419.2
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)-\sqrt{74419.2}}{2*-40.8}=\frac{0-\sqrt{74419.2}}{-81.6}
=-\frac{\sqrt{}}{-81.6}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{74419.2}}{2*-40.8}=\frac{0+\sqrt{74419.2}}{-81.6}
=\frac{\sqrt{}}{-81.6}
$