X*y*8=1569

Solution for X*y*8=1569 equation:

X*X*8=1569

We move all terms to the left:

X*X*8-(1569)=0

Wy multiply elements

8X^2*8-1569=0

Wy multiply elements

64X^2-1569=0

a = 64; b = 0; c = -1569;
Δ = b2-4ac
Δ = 02-4·64·(-1569)
Δ = 401664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{401664}=\sqrt{256*1569}=\sqrt{256}*\sqrt{1569}=16\sqrt{1569}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{1569}}{2*64}=\frac{0-16\sqrt{1569}}{128}
=-\frac{16\sqrt{1569}}{128}
=-\frac{\sqrt{1569}}{8}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{1569}}{2*64}=\frac{0+16\sqrt{1569}}{128}
=\frac{16\sqrt{1569}}{128}
=\frac{\sqrt{1569}}{8}
$