A) {125}
B) {8}
C) \[\varphi \]
D) {125, 8}
Correct Answer: D
Solution :
Given that\[{{x}^{2/3}}-7{{x}^{1/3}}+10=0\]. Given equation can be written as \[{{({{x}^{1/3}})}^{2}}-7({{x}^{1/3}})+10=0\] Let\[a={{x}^{1/3}}\], then it reduces to the equation \[{{a}^{2}}-7a+10=0\,\,\Rightarrow (a-5)(a-2)=0\,\,\,\Rightarrow a=5,\,2\] Putting these values, we have \[{{a}^{3}}=x\,\,\,\,\Rightarrow x=125\]and 8.You need to login to perform this action.
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