X*y*8=1568

Solution for X*y*8=1568 equation:

X*X*8=1568

We move all terms to the left:

X*X*8-(1568)=0

Wy multiply elements

8X^2*8-1568=0

Wy multiply elements

64X^2-1568=0

a = 64; b = 0; c = -1568;
Δ = b2-4ac
Δ = 02-4·64·(-1568)
Δ = 401408
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:

$\sqrt{\Delta}=\sqrt{401408}=\sqrt{200704*2}=\sqrt{200704}*\sqrt{2}=448\sqrt{2}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-448\sqrt{2}}{2*64}=\frac{0-448\sqrt{2}}{128}
=-\frac{448\sqrt{2}}{128}
=-\frac{7\sqrt{2}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+448\sqrt{2}}{2*64}=\frac{0+448\sqrt{2}}{128}
=\frac{448\sqrt{2}}{128}
=\frac{7\sqrt{2}}{2}
$