x+2/3x=29,3

Solution for x+2/3x=29,3 equation:

x+2/3x=29.3

We move all terms to the left:

x+2/3x-(29.3)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We add all the numbers together, and all the variables

x+2/3x-29.3=0

We multiply all the terms by the denominator


x*3x-(29.3)*3x+2=0

We multiply parentheses

x*3x-87.9x+2=0

Wy multiply elements

3x^2-87.9x+2=0

a = 3; b = -87.9; c = +2;
Δ = b2-4ac
Δ = -87.92-4·3·2
Δ = 7702.41
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-87.9)-\sqrt{7702.41}}{2*3}=\frac{87.9-\sqrt{7702.41}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-87.9)+\sqrt{7702.41}}{2*3}=\frac{87.9+\sqrt{7702.41}}{6}
$