(-2/3)k=-22

Solution for (-2/3)k=-22 equation:

(-2/3)k=-22

We move all terms to the left:

(-2/3)k-(-22)=0


Domain of the equation: 3)k!=0

k!=0/1

k!=0

k∈R


We add all the numbers together, and all the variables

(-2/3)k+22=0

We multiply parentheses

-2k^2+22=0

a = -2; b = 0; c = +22;
Δ = b2-4ac
Δ = 02-4·(-2)·22
Δ = 176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{176}=\sqrt{16*11}=\sqrt{16}*\sqrt{11}=4\sqrt{11}$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{11}}{2*-2}=\frac{0-4\sqrt{11}}{-4}
=-\frac{4\sqrt{11}}{-4}
=-\frac{\sqrt{11}}{-1}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{11}}{2*-2}=\frac{0+4\sqrt{11}}{-4}
=\frac{4\sqrt{11}}{-4}
=\frac{\sqrt{11}}{-1}
$