n-4/n=0.6

Solution for n-4/n=0.6 equation:

n-4/n=0.6

We move all terms to the left:

n-4/n-(0.6)=0


Domain of the equation: n!=0

n∈R


We add all the numbers together, and all the variables

n-4/n-0.6=0

We multiply all the terms by the denominator


n*n-(0.6)*n-4=0

We multiply parentheses

n*n-0.6n-4=0

Wy multiply elements

n^2-0.6n-4=0

a = 1; b = -0.6; c = -4;
Δ = b2-4ac
Δ = -0.62-4·1·(-4)
Δ = 16.36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-0.6)-\sqrt{16.36}}{2*1}=\frac{0.6-\sqrt{16.36}}{2}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.6)+\sqrt{16.36}}{2*1}=\frac{0.6+\sqrt{16.36}}{2}
$