64a^2-1=63

Solution for 64a^2-1=63 equation:

64a^2-1=63

We move all terms to the left:

64a^2-1-(63)=0

We add all the numbers together, and all the variables

64a^2-64=0

a = 64; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·64·(-64)
Δ = 16384
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16384}=128$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-128}{2*64}=\frac{-128}{128}
=-1
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+128}{2*64}=\frac{128}{128}
=1
$