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# So what do you think?!

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, 7 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 ) · 1 year, 7 months ago

Wolfram Alpha says NO REAL SOLUTION. · 1 year, 7 months ago