If {x^{2/3}} - 7{x^{1/3}} + 10 = 0, then x = | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Given the equation ${x^{2/3}} - 7{x^{1/3}} + 10 = 0.$This can be rewritten as ${({x^{1/3}})^2} - 7({x^{1/3}}) + 10 = 0.$Let $a = {x^{1/3}}.$ The e

Vedclass · Accepted Answer

${125, 8}$

Vedclass · Answer

(D) Given the equation ${x^{2/3}} - 7{x^{1/3}} + 10 = 0.$This can be rewritten as ${({x^{1/3}})^2} - 7({x^{1/3}}) + 10 = 0.$Let $a = {x^{1/3}}.$ The equation becomes ${a^2} - 7a + 10 = 0.$Factoring the quadratic equation,we get $(a - 5)(a - 2) = 0.$Thus,$a = 5$ or $a = 2.$Since $a = {x^{1/3}},$ we have $x = {a^3}.$For $a = 5,$ $x = {5^3} = 125.$For $a = 2,$ $x = {2^3} = 8.$Therefore,the solution set is ${125, 8}.$

If ${x^{2/3}} - 7{x^{1/3}} + 10 = 0,$ then $x = $

Similar Questions

What is incorrect for $Nostoc$ and $Anabaena$?

The set of solutions satisfying both $x^2+5x+6 \geq 0$ and $x^2+3x-4 < 0$ is

What is the percentage of Photosynthetically Active Radiation $(PAR)$ in the incident solar radiation?

Which of the following is a fiber-yielding plant?

Consider the situation shown in the figure. The wire $AB$ is sliding on the fixed rails with a constant velocity $V$. If the wire $AB$ is replaced by a semicircular wire of the same chord length,the magnitude of the induced current will

Vedclass Test Series

Exam Paper Generator

Online Exam Module