Question

if X+1/X=6 ,find x^2 +1/x^2​

Answer 1

⭐️ GIVEN ⭐️

$x + \frac{1}{x} = 6$

❇️ SOLUTION ❇️

on squaring both the sides...

$(x + \frac{1}{x} ) ^{2} = {6}^{2}$

${x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} = 36$

${x}^{2} + \frac{1}{ {x}^{2} } + 2 = 36$

${x}^{2} + \frac{1}{ {x}^{2} } = 36 - 2$

${x}^{2} + \frac{1}{ {x}^{2} } = 34$

Answer___

HOPE_IT_HELPS_✌✌✌

Answer 2

$\huge{ \mathfrak{ \underline{Question :}}}$

If x + 1 / x + 6, Find x² + 1 / x²

Answer :

Given :

x+1/x=6

To find the value of x²+1/x²

Using the following identify,

( a + b )² = a² + 2ab + b²

Here,

a=x and b=1/x

Putting the values, we get:

( x + 1 / x)² =x² + 2x.1/x+1/x²

→ (6)² = x² + 1/x² + 2

→ x² + 1/x² + 2 = 36

x² + 1 / x² = 34

There are many more identities :

• ( a - b ) ² = a² - 2ab + b²

• ( a + b ) ( a - b ) = a² - b²

• ( a + b ) ³ = a³ + 3ab² + 3a²b + b³

• ( a - b )³ = a³ - 3ab² + 3a²b - b³

• a³ + b³ = ( a + b ) ( a² - ab + b )

• a³ - b³ = ( a - b ) ( a² - ab + b² )