Math, asked by srianshuroy, 8 months ago

solve x: 3x+3-x=2
please help me​

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Answers

Answered by AlluringNightingale
2

Answer :

x = 0

Solution :

  • Given : 3^x + 3^(-x) = 2
  • To find : x = ?

We have ,

=> 3^x + 3^(-x) = 2

=> 3^x + 1/3^x = 2

=> (3^x)•(3^x) + 1 = 2•(3^x)

=> (3^x)² - 2(3^x) + 1 = 0 -------(1)

Putting 3^x = y , eq-(1) will reduce to ;

=> y² - 2y + 1 = 0

=> (y - 1)² = 0

=> y = 1

=> 3^x = 1

=> 3^x = 3^0

=> x = 0

Hence , x = 0

Answered by Mounikamaddula
1

Answer:

It is given that,

3^x+3^-x=2

3^x+1/3^x=2

3^x²+1=2(3^x)

3^x²-2(3^x)+1=0

Let,y=3^x

-2y+1=0

-y-y+1=0

on solving ,y=1

So,3^x=y

3^x=1

3^x=3

x=0

Step-by-step explanation:

Hope it helps you frnd........

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