If x2/3-7x1/3+10=0, then x=

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{125}

{8}

{125, 8}

answer is D.

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Detailed Solution

Given that x2/3-7x1/3+10=0.Given equation can be written as(x1/3)2-7(x1/3)+10=0Let a=x1/3, then it reduces to the equationa2-7a+10=0 ⇒(a-5)(a-2)=0 ⇒a=5,2Putting these values, we havea3=x⇒x=125 and 8

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