1/5*k=20

Solution for 1/5*k=20 equation:

1/5*k=20

We move all terms to the left:

1/5*k-(20)=0


Domain of the equation: 5*k!=0

k!=0/1

k!=0

k∈R


We multiply all the terms by the denominator


-20*5*k+1=0

Wy multiply elements

-100k*k+1=0

Wy multiply elements

-100k^2+1=0

a = -100; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-100)·1
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20}{2*-100}=\frac{-20}{-200}
=1/10
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20}{2*-100}=\frac{20}{-200}
=-1/10
$