Given,
a^2+1/a^2=51
Calculate the value of a+a+1/a=?
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\left[a _{1}\right] = \left[ \left( \frac{-1}{2}\,i \right) \,\sqrt{2}\right][a1]=[(2−1i)√2] Calculate totally answer
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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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