If a = 2 + √3, then the value of`(a^(6) + a^(4) + a^(2) + 1)/(a^(3))` is
a = 2 + √3 1/a = 1/(2 + √3) = 2 - √3 a + 1/a = 2 + √3 + 2 - √3 a + 1/a = 4 (a^6+a^4+a^2+1)/a^3 → (a^3 (a^3+a+1/a+1/a^3 ))/a^3 = a^3+a+1/a+1/a^3 = (a^3+1/a^3 ) + (a+1/a) a+1/a = 4 On cubing both sides, (a+1/a)^3 = (4)^3 a^3+1/a^3 + 3 × a×1/a (4) = 64 a^3+1/a^3 + 12 = 64 a^3+1/a^3 = 52 Therefore, a^3+1/a^3 + a+1/a = 52 + 4 = 56.
1. There was a boy named Pappu.
P. So the mother asked him to find work.
Q. They were very poor.
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P. and the first round of talks
Q. with the Government
R. the future course of action
S. ...
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In the question, the sentence is split into four parts. These four parts are not given in their proper order. Read the sentence and find out which of ...
Directions: In each of the following questions, a sentence is given with three words marked as (A), (B), and (C). These words may or may not be place...
