64y^2-144=0

Solution for 64y^2-144=0 equation:

64y^2-144=0

a = 64; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·64·(-144)
Δ = 36864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36864}=192$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-192}{2*64}=\frac{-192}{128}
=-1+1/2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+192}{2*64}=\frac{192}{128}
=1+1/2
$