2/x-375+x=1464

Solution for 2/x-375+x=1464 equation:

2/x-375+x=1464

We move all terms to the left:

2/x-375+x-(1464)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

x+2/x-1839=0

We multiply all the terms by the denominator


x*x-1839*x+2=0

We add all the numbers together, and all the variables

-1839x+x*x+2=0

Wy multiply elements

x^2-1839x+2=0

a = 1; b = -1839; c = +2;
Δ = b2-4ac
Δ = -18392-4·1·2
Δ = 3381913
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{-(-1839)-\sqrt{3381913}}{2*1}=\frac{1839-\sqrt{3381913}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1839)+\sqrt{3381913}}{2*1}=\frac{1839+\sqrt{3381913}}{2}
$