V+6/v+3+1=v+7/v+1

Solution for V+6/v+3+1=v+7/v+1 equation:

+6/V+3+1=V+7/V+1

We move all terms to the left:

+6/V+3+1-(V+7/V+1)=0


Domain of the equation: V!=0

V∈R



Domain of the equation: V+1)!=0

V∈R


We add all the numbers together, and all the variables

6/V-(V+7/V+1)+4=0

We get rid of parentheses

6/V-V-7/V-1+4=0

We multiply all the terms by the denominator


-V*V-1*V+4*V+6-7=0

We add all the numbers together, and all the variables

3V-V*V-1=0

Wy multiply elements

-1V^2+3V-1=0

a = -1; b = 3; c = -1;
Δ = b2-4ac
Δ = 32-4·(-1)·(-1)
Δ = 5
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{-(3)-\sqrt{5}}{2*-1}=\frac{-3-\sqrt{5}}{-2}
$
$V_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{5}}{2*-1}=\frac{-3+\sqrt{5}}{-2}
$