x+(1,6/3*X)=26

Solution for x+(1,6/3*X)=26 equation:

x+(1.6/3x)=26

We move all terms to the left:

x+(1.6/3x)-(26)=0


Domain of the equation: 3x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x+(+1.6/3x)-26=0

We get rid of parentheses

x+1.6/3x-26=0

We multiply all the terms by the denominator


x*3x-26*3x+1.6=0

Wy multiply elements

3x^2-78x+1.6=0

a = 3; b = -78; c = +1.6;
Δ = b2-4ac
Δ = -782-4·3·1.6
Δ = 6064.8
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{-(-78)-\sqrt{6064.8}}{2*3}=\frac{78-\sqrt{6064.8}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-78)+\sqrt{6064.8}}{2*3}=\frac{78+\sqrt{6064.8}}{6}
$