2/x-375+x=1464

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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} $

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