-8k^2=-1784

Solution for -8k^2=-1784 equation:

-8k^2=-1784

We move all terms to the left:

-8k^2-(-1784)=0

We add all the numbers together, and all the variables

-8k^2+1784=0

a = -8; b = 0; c = +1784;
Δ = b2-4ac
Δ = 02-4·(-8)·1784
Δ = 57088
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:

$\sqrt{\Delta}=\sqrt{57088}=\sqrt{256*223}=\sqrt{256}*\sqrt{223}=16\sqrt{223}$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{223}}{2*-8}=\frac{0-16\sqrt{223}}{-16}
=-\frac{16\sqrt{223}}{-16}
=-\frac{\sqrt{223}}{-1}
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{223}}{2*-8}=\frac{0+16\sqrt{223}}{-16}
=\frac{16\sqrt{223}}{-16}
=\frac{\sqrt{223}}{-1}
$