Math, asked by harshitaroy94, 9 months ago

x-1/x=6 ,evaluate x²+ 1/x²

Answers

Answered by raju2810
0

Answer:

x+

x

1

=6

On squaring both sides we get,

\begin{lgathered}{(x + \frac{1}{x}) }^{2} = {6}^{2} \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2(x)( \frac{1}{x} ) = 36 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 36 - 2 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 34\end{lgathered}

(x+

x

1

)

2

=6

2

x

2

+

x

2

1

+2(x)(

x

1

)=36

x

2

+

x

2

1

=36−2

x

2

+

x

2

1

=34

Identity I used =

{(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab(a+b)

2

=a

2

+b

2

+2ab

\boxed{ \textsf{ \red{ Hence\:answer\:is\:34 }}}

Henceansweris34

Answered by sairam1919
32

Step-by-step explanation:

Step-by-step explanation:

( 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 ) = 227 days = (32 weeks + 3 days) = 3 odd days. Total number of odd days = (0 + 1 + 1 + 3) = 5 odd days. Hence, as the number of odd days = 5 , given day is Friday.

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