Factorize:- y^4+5y^2+9=0
Answers
Answer:
Simplifying
y4 + 5y2 + 9 = 0
Reorder the terms:
9 + 5y2 + y4 = 0
Solving
9 + 5y2 + y4 = 0
Solving for variable 'y'.
Begin completing the square.
Move the constant term to the right:
Add '-9' to each side of the equation.
9 + 5y2 + -9 + y4 = 0 + -9
Reorder the terms:
9 + -9 + 5y2 + y4 = 0 + -9
Combine like terms: 9 + -9 = 0
0 + 5y2 + y4 = 0 + -9
5y2 + y4 = 0 + -9
Combine like terms: 0 + -9 = -9
5y2 + y4 = -9
The y term is 5y2. Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.
Add '6.25' to each side of the equation.
5y2 + 6.25 + y4 = -9 + 6.25
Reorder the terms:
6.25 + 5y2 + y4 = -9 + 6.25
Combine like terms: -9 + 6.25 = -2.75
6.25 + 5y2 + y4 = -2.75
Factor a perfect square on the left side:
(y2 + 2.5)(y2 + 2.5) = -2.75
Can't calculate square root of the right side.
The solution to this equation could not be determined.