5x+104/3x=1375

Solution for 5x+104/3x=1375 equation:

5x+104/3x=1375

We move all terms to the left:

5x+104/3x-(1375)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We multiply all the terms by the denominator


5x*3x-1375*3x+104=0

Wy multiply elements

15x^2-4125x+104=0

a = 15; b = -4125; c = +104;
Δ = b2-4ac
Δ = -41252-4·15·104
Δ = 17009385
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{-(-4125)-\sqrt{17009385}}{2*15}=\frac{4125-\sqrt{17009385}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4125)+\sqrt{17009385}}{2*15}=\frac{4125+\sqrt{17009385}}{30}
$