18/k=2,k=9

Solution for 18/k=2,k=9 equation:

18/k=2.k=9

We move all terms to the left:

18/k-(2.k)=0


Domain of the equation: k!=0

k∈R


We add all the numbers together, and all the variables

18/k-(+2.k)=0

We get rid of parentheses

18/k-2.k=0

We multiply all the terms by the denominator


-(2.k)*k+18=0

We add all the numbers together, and all the variables

-(+2.k)*k+18=0

We multiply parentheses

-2k^2+18=0

a = -2; b = 0; c = +18;
Δ = b2-4ac
Δ = 02-4·(-2)·18
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*-2}=\frac{-12}{-4}
=+3
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*-2}=\frac{12}{-4}
=-3
$