Math, asked by deepikadhamija001, 9 months ago

If X square ➕ 1 by x square is equal to 9 then find x ➖ 1 by x
Plz help.....

Answers

Answered by Anonymous
38

Correct Question:

If x² + (1/x²) = 9, then find the value of x - (1/x).

SoluTion:

Given :

  • x² + (1/x)² = 9

To find :

  • Value of x - (1/x).

ExplanaTion:

We know that,

(a - b)² = a² + b² - 2ab

Let, a = x and b = 1/x.

→ [x - (1/x)]² = x² + (1/x²) - 2

Putting the values,

→ [x - (1/x)]² = 9 - 2

→ [x - (1/x)]² = 7

Hence, value of x - (1/x) is 7.

Answered by Anonymous
21

\huge\mathtt\blue{\underline{\underline{Question:-}}}

If X square ➕ 1 by x square is equal to 9 then find x ➖ 1 by x

\huge\mathtt\blue{\underline{\underline{Concept\:used:-}}}

(a -b)²= a² + b² - 2ab

\huge\mathtt\blue{\underline{\underline{Solution:-}}}

Let a = x and b = \frac{1}{x}

 =  > {x -  \frac{1}{x} }^{2}  =  {x}^{2}  +  \frac{1}{ {x}^{2} }   - 2

Putting the value,

{x -  \frac{1}{x} }^{2}  = 9 - 2 \\  =  > {x -  \frac{1}{x} }^{2} = 7 \\

Hence the value of x - \frac{1}{x} is 7

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