O.2v=1.2/v=10

Solution for O.2v=1.2/v=10 equation:

.2O=1.2/O=10

We move all terms to the left:

.2O-(1.2/O)=0


Domain of the equation: O)!=0

O!=0/1

O!=0

O∈R


We add all the numbers together, and all the variables

.2O-(+1.2/O)=0

We get rid of parentheses

.2O-1.2/O=0

We multiply all the terms by the denominator


(.2O)*O-1.2=0

We add all the numbers together, and all the variables

(+.2O)*O-1.2=0

We multiply parentheses

O^2-1.2=0

a = 1; b = 0; c = -1.2;
Δ = b2-4ac
Δ = 02-4·1·(-1.2)
Δ = 4.8
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$O_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$O_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$O_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{4.8}}{2*1}=\frac{0-\sqrt{4.8}}{2}
=-\frac{\sqrt{}}{2}
$
$O_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{4.8}}{2*1}=\frac{0+\sqrt{4.8}}{2}
=\frac{\sqrt{}}{2}
$