Question
If a = 2 + √3, then the value of `(a^(6) +
a^(4) + a^(2) + 1)/(a^(3))` isSolution
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.
By which of the following processes water enter into seed coat first when a dry seed is placed in a suitable medium for germination?
Where is the chemical weathering of rocks is most intense ?
A true fruit is developed:
What will be the base period of crop if duty of water is 1200 ha/cumec and depth of water is 50cm?Â
Deficiency of which essential plant nutrient leads to ‘pop pod in groundnut’:
Which of the following is a measure to promote agricultural exports under the Agricultural Export Policy?
What percentage of water-soluble K2O is present in Muriate Of Potash?
The Central Seed Testing Laboratory is located at:
Triple test cross is an extension of:
Which method is most suitable for the plantation of fruit trees in slopy areas?
Relevant for Exams:
