62x+1/3x+725=624

Solution for 62x+1/3x+725=624 equation:

62x+1/3x+725=624

We move all terms to the left:

62x+1/3x+725-(624)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We add all the numbers together, and all the variables

62x+1/3x+101=0

We multiply all the terms by the denominator


62x*3x+101*3x+1=0

Wy multiply elements

186x^2+303x+1=0

a = 186; b = 303; c = +1;
Δ = b2-4ac
Δ = 3032-4·186·1
Δ = 91065
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{-(303)-\sqrt{91065}}{2*186}=\frac{-303-\sqrt{91065}}{372}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(303)+\sqrt{91065}}{2*186}=\frac{-303+\sqrt{91065}}{372}
$