x-5/x=33.3

Solution for x-5/x=33.3 equation:

x-5/x=33.3

We move all terms to the left:

x-5/x-(33.3)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

x-5/x-33.3=0

We multiply all the terms by the denominator


x*x-(33.3)*x-5=0

We multiply parentheses

x*x-33.3x-5=0

Wy multiply elements

x^2-33.3x-5=0

a = 1; b = -33.3; c = -5;
Δ = b2-4ac
Δ = -33.32-4·1·(-5)
Δ = 1128.89
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{-(-33.3)-\sqrt{1128.89}}{2*1}=\frac{33.3-\sqrt{1128.89}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33.3)+\sqrt{1128.89}}{2*1}=\frac{33.3+\sqrt{1128.89}}{2}
$