SOLUTION: 3y^2/3+21y^1/3+30=0 Whats the solution to this? an can you show step by step so i'll know how to solve next time?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 3y^2/3+21y^1/3+30=0 Whats the solution to this? an can you show step by step so i'll know how to solve next time?      Log On


   



Question 508207: 3y^2/3+21y^1/3+30=0 Whats the solution to this? an can you show step by step so i'll know how to solve next time?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3y^2/3+21y^1/3+30=0
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Quadratic Form with variable y^(1/3).
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Let w = y^(1/3) to get:
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3w^2 + 21w + 30 = 0
3[w^2+7w+10] = 0
(w+5)(w+2) = 0
w = -5 or w = -2
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Now solve for y:
y^(1/3) = -5 or y^(1/3) = -2
y = -125 or y = -8
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Cheers,
Stan H.