k2-130=4226

Solution for k2-130=4226 equation:

k2-130=4226

We move all terms to the left:

k2-130-(4226)=0

We add all the numbers together, and all the variables

k^2-4356=0

a = 1; b = 0; c = -4356;
Δ = b2-4ac
Δ = 02-4·1·(-4356)
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*1}=\frac{-132}{2}
=-66
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+132}{2*1}=\frac{132}{2}
=66
$