solve x: 3x+3-x=2
please help me
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Answered by
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
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
y²-2y+1=0
y²-y-y+1=0
on solving ,y=1
So,3^x=y
3^x=1
3^x=3⁰
x=0
Step-by-step explanation:
Hope it helps you frnd........
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