X+143/x=143

Solution for X+143/x=143 equation:

X+143/X=143

We move all terms to the left:

X+143/X-(143)=0


Domain of the equation: X!=0

X∈R


We multiply all the terms by the denominator


X*X-143*X+143=0

We add all the numbers together, and all the variables

-143X+X*X+143=0

Wy multiply elements

X^2-143X+143=0

a = 1; b = -143; c = +143;
Δ = b2-4ac
Δ = -1432-4·1·143
Δ = 19877
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{-(-143)-\sqrt{19877}}{2*1}=\frac{143-\sqrt{19877}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-143)+\sqrt{19877}}{2*1}=\frac{143+\sqrt{19877}}{2}
$