Math, asked by jhaananyaviia08, 5 months ago

If X+1/X=2 , then find the value of x-1/x​

Answers

Answered by SuhaniiAgarwal
2

Answer:

0

Step-by-step explanation:

x + 1/x = 2

(x²+1)/x = 2

x² + 1 = 2x

x² - 2x + 1 = 0

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

x - 1 = 0

x = 1

x - 1/x = (x² - 1)/x = (1²-1)/1 = 0/1 = 0

Hope it helps you:)

Answered by sateesh141996
1

Answer:

X- 1/x = 0

Step-by-step explanation:

X + 1/X = 2

Squaring on both side

 {(x +  \frac{1}{x} )}^{2}  =  {2}^{2} \\  {x}^{2}  +  { \frac{1}{x} }^{2}  + 2 \frac{x}{x}  = 4 \\  {x}^{2}  +  { \frac{1}{x} }^{2}  = 2

Now

 {(x -  \frac{1}{x} )}^{2}  =  {x}^{2}  +  { \frac{1}{x} }^{2}  -  \frac{2x}{x} \\  = 2 - 2 \\  = 0 \\ (x -  \frac{1}{x} ) = 0

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