Math, asked by nidhi2696, 1 year ago

√3x - 2 = 2 √3 + 4= find the value of x

Answers

Answered by tardymanchester
21

Answer:

  • x = 2 + 2√3

Step-by-step explanation :

Given :

  • 3x - 2 = 2 √3 + 4

To find :

  • The value of x

Solution :

\bf{\implies}\sqrt{3}\times x -2 = 2\cdot\sqrt{3}+4

We need to find out the value of x :

\bf{\implies} \sqrt{3}\times x -2 = 2\cdot\sqrt{3}+4

\bf {\implies} \sqrt{3}\times x = 2 + 2\cdot\sqrt{3}+4

\bf{\implies} \sqrt{3}\times x = 6 + 2\cdot\sqrt{3}

\bf {\implies}\:x = \frac{6}{\sqrt{3}}+2

\bf {\implies}\: x = 2\sqrt{3}+2

\therefore The value of x = 2 + 2√3

Verification :

  • √3x - 2 = 2 √3 + 4

  • √3( 2 + 2√3 ) - 2 = 2 √3 + 4

  • 2√3 + 6 - 2 = 2 √3 + 4

  • 2√3 + 4 = 2√3 + 4

Hence verified

Answered by makwanamantra111
1

Answer:

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