3/64-27y^2=0

Solution for 3/64-27y^2=0 equation:

3/64-27y^2=0

We multiply all the terms by the denominator


-27y^2*64+3=0

Wy multiply elements

-1728y^2+3=0

a = -1728; b = 0; c = +3;
Δ = b2-4ac
Δ = 02-4·(-1728)·3
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*-1728}=\frac{-144}{-3456}
=1/24
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*-1728}=\frac{144}{-3456}
=-1/24
$