(C) Given equation: $x^{2/3} + x^{1/3} - 2 = 0$Let $a = x^{1/3}$. Substituting this into the equation,we get:$a^2 + a - 2 = 0$Factoring the quadratic

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(C) Given equation: $x^{2/3} + x^{1/3} - 2 = 0$Let $a = x^{1/3}$. Substituting this into the equation,we get:$a^2 + a - 2 = 0$Factoring the quadratic equation:$(a + 2)(a - 1) = 0$So,$a = 1$ or $a = -2$.Case $1$: If $a = 1$,then $x^{1/3} = 1$,which implies $x = 1^3 = 1$.Case $2$: If $a = -2$,then $x^{1/3} = -2$,which implies $x = (-2)^3 = -8$.Thus,the roots are $x = 1, -8$.

Class 11 Mathematics 4-2.Quadratic Equations and Inequations Solution of quadratic equations and Nature of roots

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The roots of the equation $x^{2/3} + x^{1/3} - 2 = 0$ are

A
$1, 4$
B
$1, -4$
C
$1, -8$
D
$1, 8$

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4-2.Quadratic Equations and Inequations

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The roots of the equation $x^{2/3} + x^{1/3} - 2 = 0$ are

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