Question

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

Answer 1

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.

Answer 2

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

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