x-16/x=0.6

Solution for x-16/x=0.6 equation:

x-16/x=0.6

We move all terms to the left:

x-16/x-(0.6)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

x-16/x-0.6=0

We multiply all the terms by the denominator


x*x-(0.6)*x-16=0

We multiply parentheses

x*x-0.6x-16=0

Wy multiply elements

x^2-0.6x-16=0

a = 1; b = -0.6; c = -16;
Δ = b2-4ac
Δ = -0.62-4·1·(-16)
Δ = 64.36
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{-(-0.6)-\sqrt{64.36}}{2*1}=\frac{0.6-\sqrt{64.36}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.6)+\sqrt{64.36}}{2*1}=\frac{0.6+\sqrt{64.36}}{2}
$