If a = 2 + √3, then the value of (a6 + a4 + a2 + 1)/a3 is
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
My brother would tell me stories about the War which I would later attempt ________ in the headlines in the newspaper.
Select the most appropriate option to fill in the blank.
Generally people use ______ oils for their cooking.
An intervention should be done in a way that is productive and doesn't __________ immediate anger or distress.
Recent history casts a remarkably sobering light on how much politicians can count on __________ arguments to hold sway over popular sentiment.
Choose the correct answer to fill the given blank
The cat _____ on the windowsill for hours.
As the storm approached, residents were urged to ____________ their homes and take shelter to ensure their safety.
You should arrive early to _____ your surroundings.
Given below is a sentence with one blank in each. Below each sentence are given four words among which one word might fill the blank. If none of the wo...
Given the violence and threats , it is perhaps not __________ that the producers have decided to voluntarily ________ its release.
...Choose the correct option to fill blank 2.
