1-(1/k2)=0.8889

Solution for 1-(1/k2)=0.8889 equation:

1-(1/k2)=0.8889

We move all terms to the left:

1-(1/k2)-(0.8889)=0


Domain of the equation: k2)!=0

k!=0/1

k!=0

k∈R


We add all the numbers together, and all the variables

-(+1/k2)+1-(0.8889)=0

We add all the numbers together, and all the variables

-(+1/k2)+0.1111=0

We get rid of parentheses

-1/k2+0.1111=0

We multiply all the terms by the denominator


(0.1111)*k2-1=0

We multiply parentheses

0.1111k^2-1=0

a = 0.1111; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·0.1111·(-1)
Δ = 0.4444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{0.4444}}{2*0.1111}=\frac{0-\sqrt{0.4444}}{0.2222}
=-\frac{\sqrt{}}{0.2222}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.4444}}{2*0.1111}=\frac{0+\sqrt{0.4444}}{0.2222}
=\frac{\sqrt{}}{0.2222}
$