k^2-162=9k

Solution for k^2-162=9k equation:

k^2-162=9k

We move all terms to the left:

k^2-162-(9k)=0

a = 1; b = -9; c = -162;
Δ = b2-4ac
Δ = -92-4·1·(-162)
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-27}{2*1}=\frac{-18}{2}
=-9
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+27}{2*1}=\frac{36}{2}
=18
$