1/11v+4/v=1

Solution for 1/11v+4/v=1 equation:

1/11v+4/v=1

We move all terms to the left:

1/11v+4/v-(1)=0


Domain of the equation: 11v!=0

v!=0/11

v!=0

v∈R



Domain of the equation: v!=0

v∈R


We calculate fractions


v/11v^2+44v/11v^2-1=0

We multiply all the terms by the denominator


v+44v-1*11v^2=0

We add all the numbers together, and all the variables

45v-1*11v^2=0

Wy multiply elements

-11v^2+45v=0

a = -11; b = 45; c = 0;
Δ = b2-4ac
Δ = 452-4·(-11)·0
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(45)-45}{2*-11}=\frac{-90}{-22}
=4+1/11
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(45)+45}{2*-11}=\frac{0}{-22}
=0
$