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25-02-2017
Mathematics

Answered

x^3=5x what is the largest possible value for x?

Verified Answer :

25-02-2017

\(x^3 = 5x\\\\ x^3 - 5x=0\\\\ x(x^2 -5)=0\\\\ x = 0~~\text{ OR }~~ x^2 -5=0\\\\ \boxed{x_1 = 0} \\\\ x_{23} = \pm \sqrt{5} \\\\ \boxed{x_2 = \sqrt{5} }\\\\ \boxed{x_3 = -\sqrt{5} }\)

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