B/x+4=x+2

Solution for B/x+4=x+2 equation:

/B+4=B+2

We move all terms to the left:

/B+4-(B+2)=0


Domain of the equation: B!=0

B∈R


We get rid of parentheses

/B-B-2+4=0

We multiply all the terms by the denominator


-B*B-2*B+4*B+=0

We add all the numbers together, and all the variables

2B-B*B=0

Wy multiply elements

-1B^2+2B=0

a = -1; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-1)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$B_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$B_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$B_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-1}=\frac{-4}{-2}
=+2
$
$B_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-1}=\frac{0}{-2}
=0
$