Math, asked by cswnokar, 1 year ago

Given,
a^2+1/a^2=51
Calculate the value of a+a+1/a=?


cswnokar: ??? Fast....!

Answers

Answered by Rajeshkumare
0
\left[a _{1}\right] = \left[ \left( \frac{-1}{2}\,i \right) \,\sqrt{2}\right][a​1​​]=[(​2​​−1​​i)√​2​​​] Calculate totally answer

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Answered by Anonymous
7

Question:

The correct question would be :-

If a² + 1/a² = 51 , find the value of a + 1/a .

Answer:

± √53

Step-by-step explanation:

Given :

a² + 1/a² = 51

We add 2 from both sides :-

⇒ a² + 1/a² + 2 = 51 + 2

⇒ a² + 1/a² + 2 = 53

Rewrite the left hand side like this :

⇒ (a)² + (1/a)² + 2 × a × 1/a = 53

By the properties of expansion we know that :

a² + b² + 2 ab = ( a + b )²

Hence we can rewrite the above equation as :-

⇒ ( a + 1/a )² = 53

Taking square root both sides we get :-

⇒ ( a + 1/a ) = ± √53

The value of a + 1/a = ± √53 .

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