-11=-44(225)/v^2

Solution for -11=-44(225)/v^2 equation:

-11=-44(225)/v^2

We move all terms to the left:

-11-(-44(225)/v^2)=0


Domain of the equation: v^2)!=0

v!=0/1

v!=0

v∈R


We get rid of parentheses

44225/v^2-11=0

We multiply all the terms by the denominator


-11*v^2+44225=0

We add all the numbers together, and all the variables

-11v^2+44225=0

a = -11; b = 0; c = +44225;
Δ = b2-4ac
Δ = 02-4·(-11)·44225
Δ = 1945900
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:

$\sqrt{\Delta}=\sqrt{1945900}=\sqrt{100*19459}=\sqrt{100}*\sqrt{19459}=10\sqrt{19459}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{19459}}{2*-11}=\frac{0-10\sqrt{19459}}{-22}
=-\frac{10\sqrt{19459}}{-22}
=-\frac{5\sqrt{19459}}{-11}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{19459}}{2*-11}=\frac{0+10\sqrt{19459}}{-22}
=\frac{10\sqrt{19459}}{-22}
=\frac{5\sqrt{19459}}{-11}
$