Question
If a = 2 + √3, then the value of (a6 +
a4 + a2 + 1)/a3 isSolution
a = 2 + √3 1/a = 1/(2 + √3) = 2 - √3 a + 1/a = 2 + √3 + 2 - √3 a + 1/a = 4(a6 + a4 + a2 + 1)/a3 → (a3 (a3 + a + 1/a + 1/a3))/a3 = a3 + a + 1/a + 1/a3 = (a3 + 1/a3) + (a + 1/a) a + 1/a = 4 On cubing both sides, (a + 1/a)3 = (4)3 a3 + 1/a3 + 3 × (a + 1/a ) = 64 a3 + 1/a3 + 3 × (4) = 64 a3 + 1/a3 + 12 = 64 a3 + 1/a3 = 52 then, a3 + 1/a3 + a+1/a = 52 + 4 = 56
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It is invariably life in the fast pane for aircraft fitted with this engine, often used for troop transport or medevacking operations.
Spin your wheels
Choose the option which best expresses the meaning of the idiom/phrase in bold in the sentence.
The kids should be kept busy while you are away; id...Despite the initial setbacks, we managed to turn the tide and complete the project on time.
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In each of the following questions, three statements are given with an idiom highlighted in bold. You have to select the answer choice that represents ...
In the given question a sentence with a blank is given. From the options choose the idiom which will fit perfectly in the blank and make the sentence c...
My brother said to me, “Don’t waste your time.”
Widely known and esteemed
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