256x^2-144=0

Solution for 256x^2-144=0 equation:

256x^2-144=0

a = 256; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·256·(-144)
Δ = 147456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{147456}=384$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-384}{2*256}=\frac{-384}{512}
=-3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+384}{2*256}=\frac{384}{512}
=3/4
$