11/12k=33k=

Solution for 11/12k=33k= equation:

11/12k=33k=

We move all terms to the left:

11/12k-(33k)=0


Domain of the equation: 12k!=0

k!=0/12

k!=0

k∈R


We add all the numbers together, and all the variables

-33k+11/12k=0

We multiply all the terms by the denominator


-33k*12k+11=0

Wy multiply elements

-396k^2+11=0

a = -396; b = 0; c = +11;
Δ = b2-4ac
Δ = 02-4·(-396)·11
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17424}=132$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-132}{2*-396}=\frac{-132}{-792}
=1/6
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+132}{2*-396}=\frac{132}{-792}
=-1/6
$