64x2-8=0

Solution for 64x2-8=0 equation:

64x^2-8=0

a = 64; b = 0; c = -8;
Δ = b2-4ac
Δ = 02-4·64·(-8)
Δ = 2048
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:

$\sqrt{\Delta}=\sqrt{2048}=\sqrt{1024*2}=\sqrt{1024}*\sqrt{2}=32\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32\sqrt{2}}{2*64}=\frac{0-32\sqrt{2}}{128}
=-\frac{32\sqrt{2}}{128}
=-\frac{\sqrt{2}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32\sqrt{2}}{2*64}=\frac{0+32\sqrt{2}}{128}
=\frac{32\sqrt{2}}{128}
=\frac{\sqrt{2}}{4}
$