SOLUTION: solve for y: 9y^4 - 4y^2 = 0

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Question 152626: solve for y:
9y^4 - 4y^2 = 0

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
9y%5E4+-+4y%5E2+=+0 Start with the given equation.


y%5E2%289y%5E2+-+4%29+=+0 Factor out y%5E2


y%5E2%283y%2B2%29%283y-2%29+=+0 Factor 9y%5E2+-+4 to get %283y%2B2%29%283y-2%29



Now set each factor equal to zero:


y%5E2=0, 3y%2B2=0 or 3y-2=0


Now solve for y for each equation:


y=0, y=-2%2F3 or y=2%2F3


So the solutions are y=0 (with a multiplicity of 2), y=-2%2F3 or y=2%2F3