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The number of real solutions \(x\) of the equation \(\sqrt[3]{x-1}+\sqrt[3]{x-3}+\sqrt[3]{x-5}=0\) is:

(The above question appeared in NMTC 2015)

Note by Rohit Udaiwal
1 year, 5 months ago

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Only one real solution x=3, we can solve it as if (a+b+c=0, => a^3+b^3+c^3= 3abc ) Pranay Kumar · 1 year, 5 months ago

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Wolfram Alpha says NO REAL SOLUTION. Akshat Sharda · 1 year, 5 months ago

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@Akshat Sharda A solution that i can see is 3. Aditya Chauhan · 1 year, 5 months ago

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