y2=64/81

Solution for y2=64/81 equation:

y2=64/81

We move all terms to the left:

y2-(64/81)=0

We add all the numbers together, and all the variables

y2-(+64/81)=0

We add all the numbers together, and all the variables

y^2-(+64/81)=0

We get rid of parentheses

y^2-64/81=0

We multiply all the terms by the denominator


y^2*81-64=0

Wy multiply elements

81y^2-64=0

a = 81; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·81·(-64)
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*81}=\frac{-144}{162}
=-8/9
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*81}=\frac{144}{162}
=8/9
$