x/4+1/4=1/2-x/2
please explain
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Answered by
8
Answer:
We will proceed by whats given
x + 1/x = 2
On squaring we get
x^2 + 1/x^2 + 2 = 4
i.e. x^2 + 1/x^2 = 2
Now again squaring the obtained equation
x^4 + 1/x^4 + 2 = 4
x^4 + 1/x^4 = 2 .
Well thats it ! The answer to the question is 2 .
We used the approach of squaring because notice that the term of 2ab would yeild a constant = 2 , because here a and b are reciprocals and hence cancel each other out i.e. a= x and b=1/x
Thanks and regards .
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my alll answer thank krdo plzzzz
Answered by
2
Answer:
x\4+1\4=1\2-x\2
x*4\4+1=1*2\2-x
4x\5=2\2-x
4x=2*5\2-x
4x=10\2-x
4x=5\-x
4x*-x=5
4x^2=5
x^2=5\4
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