8x*8x=340

Solution for 8x*8x=340 equation:

8x*8x=340

We move all terms to the left:

8x*8x-(340)=0

Wy multiply elements

64x^2-340=0

a = 64; b = 0; c = -340;
Δ = b2-4ac
Δ = 02-4·64·(-340)
Δ = 87040
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:

$\sqrt{\Delta}=\sqrt{87040}=\sqrt{1024*85}=\sqrt{1024}*\sqrt{85}=32\sqrt{85}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32\sqrt{85}}{2*64}=\frac{0-32\sqrt{85}}{128}
=-\frac{32\sqrt{85}}{128}
=-\frac{\sqrt{85}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32\sqrt{85}}{2*64}=\frac{0+32\sqrt{85}}{128}
=\frac{32\sqrt{85}}{128}
=\frac{\sqrt{85}}{4}
$