64m^2-1/16=0

Solution for 64m^2-1/16=0 equation:

64m^2-1/16=0

We multiply all the terms by the denominator


64m^2*16-1=0

Wy multiply elements

1024m^2-1=0

a = 1024; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·1024·(-1)
Δ = 4096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4096}=64$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-64}{2*1024}=\frac{-64}{2048}
=-1/32
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+64}{2*1024}=\frac{64}{2048}
=1/32
$