MyQuestionIcon

3

You visited us 3 times! Enjoying our articles? Unlock Full Access!

Graph of Quadratic Expression

The solution ...

Question

The solution set of the equation
$x^{2 / 3} + x^{1 / 3} = 2$ is

A

{- 8, 1}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

{8, 1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

{1, - 1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

$\{2, -2}\$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C ${- 8, 1}$
Let $x^{\frac{1}{3}} = t t^{2} + t - 2 = 0 t^{2} + 2 t - t - 2 = 0 t (t + 2) - (t + 2) = 0 (t - 1) (t + 2) = 0 t = 1 x^{\frac{1}{3}} = 1 x = 1 t = - 2 x^{\frac{1}{3}} = - 2 x = - 8 x = (- 8, 1)$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Choose or find odd number pair

(9 - 3), (1 / 2 - 1 / 8), (1 / 3 - 1 / 12), (24 - 6)

Q. The solution of the equation

x^{\frac{2}{3}} + x^{\frac{1}{3}} = 2

Q. The points (8,1) , (3,-4) and (2,-5) are collinear.

Q. The number of solutions of the following equations

x_{2} - x_{3} = 1, - x_{1} + 2 x_{3} = - 2, x_{1} - 2 x_{2} = 3

Q. The number of solution of the equation

x^{\frac{2}{3}} + x^{\frac{1}{3}} - 2 = 0

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Quadratic Polynomials

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Graph of Quadratic Expression

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon