In Exercises 29 nd all complex solutions 3y2 4y4SolutionGive

In Exercises 29 nd all complex solutions.    3y^2 +4=y^4

Solution

Given 3y² +4=y⁴

y⁴ - 3y² - 4 = 0

by factoring we get

(y² - 4 )(y² + 1) =0

then   (y² - 4 ) = 0 , (y² + 1) =0

y² = 4 , y² = -1

y = +/- 2, , y = +/- i

roots are 2, - 2 , + i , - i