To solve this equation, we will first simplify it by factoring out a common factor from the numerator and denominator.
This gives us:
(3y^2 - 1)(y - 4) / (3y^2 - 1)(3y^2 + 1) = 0
Now, we can set each factor equal to zero and solve for y:
1) 3y^2 - 1 = 03y^2 = 1y^2 = 1/3y = ±√(1/3)
2) y - 4 = 0y = 4
Therefore, the solutions to the equation are:y = √(1/3), -√(1/3), 4
To solve this equation, we will first simplify it by factoring out a common factor from the numerator and denominator.
This gives us:
(3y^2 - 1)(y - 4) / (3y^2 - 1)(3y^2 + 1) = 0
Now, we can set each factor equal to zero and solve for y:
1) 3y^2 - 1 = 0
3y^2 = 1
y^2 = 1/3
y = ±√(1/3)
2) y - 4 = 0
y = 4
Therefore, the solutions to the equation are:
y = √(1/3), -√(1/3), 4