SOLUTION: Find all solutions of the following equation x^12/5 +5 x^7/5 +6 x^2/5 = 0

Algebra.Com
Question 73774:
Find all solutions of the following equation
x^12/5 +5 x^7/5 +6 x^2/5 = 0

Answer by psbhowmick(878)   (Show Source): You can put this solution on YOUR website!



As product of two quantities = 0, so at least one is zero.
Either or
i.e. or
i.e. or or
i.e. or or

Thus, the full set of solutions is x = 0, -2, -3.

RELATED QUESTIONS

Find all solutions of the following equation {{{x^(12/5) +5x^(7/5) +6x^(2/5) =... (answered by psbhowmick)
Find all the real solutions of the equation.... (answered by jsmallt9)
Which of the following are solutions to the equation below? Check all that apply. (x... (answered by josgarithmetic)
Find all solutions to the equation. 7 sin^2(x) - 14 sin x + 2 =... (answered by lwsshak3)
Find all solutions to the equation. 7 sin^2 x - 14 sin x + 2 =... (answered by ikleyn,josmiceli)
Find all solutions to the equation. 7 sin^2 x - 14 sin x + 2 =... (answered by greenestamps)
Find all solutions to the equation. 7 sin^(2)x - 14 sin x + 2 =... (answered by KMST,Edwin McCravy)
7 sin^2 x - 14 sin x + 2 = -5 Find all solutions to the... (answered by ikleyn)
Find all real solutions to the equation 4^x - 5(2^x) - 24 =... (answered by Alan3354)