X-0.11/x=3625

Solution for X-0.11/x=3625 equation:

X-0.11/X=3625

We move all terms to the left:

X-0.11/X-(3625)=0


Domain of the equation: X!=0

X∈R


We multiply all the terms by the denominator


X*X-3625*X-0.11=0

We add all the numbers together, and all the variables

-3625X+X*X-0.11=0

Wy multiply elements

X^2-3625X-0.11=0

a = 1; b = -3625; c = -0.11;
Δ = b2-4ac
Δ = -36252-4·1·(-0.11)
Δ = 13140625.44
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{-(-3625)-\sqrt{13140625.44}}{2*1}=\frac{3625-\sqrt{13140625.44}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3625)+\sqrt{13140625.44}}{2*1}=\frac{3625+\sqrt{13140625.44}}{2}
$