x-14/x=0.06

Solution for x-14/x=0.06 equation:

x-14/x=0.06

We move all terms to the left:

x-14/x-(0.06)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

x-14/x-0.06=0

We multiply all the terms by the denominator


x*x-(0.06)*x-14=0

We multiply parentheses

x*x-0.06x-14=0

Wy multiply elements

x^2-0.06x-14=0

a = 1; b = -0.06; c = -14;
Δ = b2-4ac
Δ = -0.062-4·1·(-14)
Δ = 56.0036
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{-(-0.06)-\sqrt{56.0036}}{2*1}=\frac{0.06-\sqrt{56.0036}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.06)+\sqrt{56.0036}}{2*1}=\frac{0.06+\sqrt{56.0036}}{2}
$