Math, asked by arbiyakhan64, 1 year ago

if x square - 2 X + 1 is equal to zero then X + 1 by x is equal to​

Answers

Answered by sid786gautam786
42

x²-2x+1=0

x²-x-x+1=0

x(x-1)-1(x-1)=0

(x-1)(x-1)=0

Therefore x=1

And thus

x+1/x

=1+1/1

=1


sid786gautam786: Oh sorry 2 is the ans
Answered by sushmadhkl
0

Answer:

x + 1 by x is equal to​ 2.

Step-by-step explanation:

Given

x²-2x+1=0

To find the value of x+1/x

Solution:

x^{2} -2x+1=0\\x^{2} -(1+1)x+1=0\\x^{2} -x-x+1=0\\x(x-1) -1(x-1)=0\\(x-1)(x-1)=0\\Either,\\       x-1=0\\x=1\\ Or, \\x-1=0\\x=1\\Now\\\frac{x+1}{x} =1+1/1=2\\

Thus, the value of  x+1/x is 2.

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