x=313−313x=313−313x = {3^{\frac{1}{3}}} - {3^{\frac{1}{3}}} value of 3x3 + 9x is?" /> x=313−313x=313−313x = {3^{\frac{1}{3}}} - {3^{\frac{1}{3}}} value of 3x3 + 9x is?" /> x=313−313x=313−313x = {3^{\frac{1}{3}}} - {3^{\frac{1}{3}}} value of 3x3 + 9x is?" />

India’s No.1 Educational Platform For UPSC,PSC And All Competitive Exam

Download Our App

If $x = 3^{\frac{1}{3}} - 3^{\frac{1}{3}}$ $x = {3^{\frac{1}{3}}} - {3^{\frac{1}{3}}}$ value of 3x³ + 9x is?

18
29
327
416

Answer:- 1

Explanation:-

Solution:

\begin{aligned} x = 3^{\frac{1}{3}} - 3^{\frac{1}{3}} \\ \Rightarrow x + 3^{\frac{1}{3}} = 3^{\frac{1}{3}} \\ \Rightarrow x^{3} + \frac{1}{3} + 3 \times x \times 3^{\frac{1}{3}} (x + 3^{\frac{1}{3}}) = 3 \\ \Rightarrow x^{3} + \frac{1}{3} + 3 \times x 3^{\frac{1}{3}} (3^{\frac{1}{3}}) = 3 \\ \Rightarrow 3 x^{3} + 9 x = 9 - 1 \\ \Rightarrow 3 x^{3} + 9 x = 8 \end{aligned}

$\eqalign{ & x = {3^{\frac{1}{3}}} - {3^{\frac{1}{3}}}{\text{ }} \cr & \Rightarrow x + {3^{\frac{1}{3}}} = {3^{\frac{1}{3}}}{\text{ }} \cr & \Rightarrow {x^3} + \frac{1}{3} + 3 \times x \times {3^{\frac{1}{3}}}\left( {x + {3^{\frac{1}{3}}}} \right) = 3 \cr & \Rightarrow {x^3} + \frac{1}{3} + 3 \times x{3^{\frac{1}{3}}}\left( {{3^{\frac{1}{3}}}} \right) = 3 \cr & \Rightarrow 3{x^3} + 9x = 9 - 1 \cr & \Rightarrow 3{x^3} + 9x = 8 \cr}$

Workspace Report

Post your Comments

value of 3x³ + 9x is?", "text": "If

x = 3^{\frac{1}{3}} - 3^{\frac{1}{3}}

$x = {3^{\frac{1}{3}}} - {3^{\frac{1}{3}}}$ value of 3x³ + 9x is?", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} x = 3^{\frac{1}{3}} - 3^{\frac{1}{3}} \\ \Rightarrow x + 3^{\frac{1}{3}} = 3^{\frac{1}{3}} \\ \Rightarrow x^{3} + \frac{1}{3} + 3 \times x \times 3^{\frac{1}{3}} (x + 3^{\frac{1}{3}}) = 3 \\ \Rightarrow x^{3} + \frac{1}{3} + 3 \times x 3^{\frac{1}{3}} (3^{\frac{1}{3}}) = 3 \\ \Rightarrow 3 x^{3} + 9 x = 9 - 1 \\ \Rightarrow 3 x^{3} + 9 x = 8 \end{aligned}

$\eqalign{ & x = {3^{\frac{1}{3}}} - {3^{\frac{1}{3}}}{\text{ }} \cr & \Rightarrow x + {3^{\frac{1}{3}}} = {3^{\frac{1}{3}}}{\text{ }} \cr & \Rightarrow {x^3} + \frac{1}{3} + 3 \times x \times {3^{\frac{1}{3}}}\left( {x + {3^{\frac{1}{3}}}} \right) = 3 \cr & \Rightarrow {x^3} + \frac{1}{3} + 3 \times x{3^{\frac{1}{3}}}\left( {{3^{\frac{1}{3}}}} \right) = 3 \cr & \Rightarrow 3{x^3} + 9x = 9 - 1 \cr & \Rightarrow 3{x^3} + 9x = 8 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} x = 3^{\frac{1}{3}} - 3^{\frac{1}{3}} \\ \Rightarrow x + 3^{\frac{1}{3}} = 3^{\frac{1}{3}} \\ \Rightarrow x^{3} + \frac{1}{3} + 3 \times x \times 3^{\frac{1}{3}} (x + 3^{\frac{1}{3}}) = 3 \\ \Rightarrow x^{3} + \frac{1}{3} + 3 \times x 3^{\frac{1}{3}} (3^{\frac{1}{3}}) = 3 \\ \Rightarrow 3 x^{3} + 9 x = 9 - 1 \\ \Rightarrow 3 x^{3} + 9 x = 8 \end{aligned}

$\eqalign{ & x = {3^{\frac{1}{3}}} - {3^{\frac{1}{3}}}{\text{ }} \cr & \Rightarrow x + {3^{\frac{1}{3}}} = {3^{\frac{1}{3}}}{\text{ }} \cr & \Rightarrow {x^3} + \frac{1}{3} + 3 \times x \times {3^{\frac{1}{3}}}\left( {x + {3^{\frac{1}{3}}}} \right) = 3 \cr & \Rightarrow {x^3} + \frac{1}{3} + 3 \times x{3^{\frac{1}{3}}}\left( {{3^{\frac{1}{3}}}} \right) = 3 \cr & \Rightarrow 3{x^3} + 9x = 9 - 1 \cr & \Rightarrow 3{x^3} + 9x = 8 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

Test

Classes

E-Book