(6.3/7.3)*v+v=1

Solution for (6.3/7.3)*v+v=1 equation:

(6.3/7.3)*v+v=1

We move all terms to the left:

(6.3/7.3)*v+v-(1)=0


Domain of the equation: 7.3)*v!=0

v!=0/1

v!=0

v∈R


We add all the numbers together, and all the variables

(+6.3/7.3)*v+v-1=0

We add all the numbers together, and all the variables

v+(+6.3/7.3)*v-1=0

We multiply parentheses

6v^2+v-1=0

a = 6; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·6·(-1)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-5}{2*6}=\frac{-6}{12}
=-1/2
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+5}{2*6}=\frac{4}{12}
=1/3
$