AP EAMCET · Maths · Quadratic Equation
The sum of squares of roots of the equation \(x^{\frac{2}{3}}+x^{\frac{1}{3}}-2=0\) is
- A 82
- B 65
- C 50
- D 37
Answer & Solution
Correct Answer
(B) 65
Step-by-step Solution
Detailed explanation
Given, equation is \[ \begin{array}{rlrl} & & x^{2 / 3}+x^{1 / 3}-2 & =0 \\ \Rightarrow & & x^{2 / 3}+x^{1 / 3} & =2 \\ & \Rightarrow & \left(x^{2 / 3}+x^{1 / 3}\right)^3 & =2^3 \\ & & & \\ {\left[\therefore(a+b)^3\right.} & \left.=a^3+b^3+3 a b(a+b)\right] \end{array} \]…
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