Question
If a+1/a =9, then a5+1/a5 is equal
to:Solution
a + (1/a) = 9 = ( a² + 1/a² ) = (9) ² - 2 = 81 - 2 = 79 (a³ + 1/a³ ) = (a+1/a)3 -3(a+1/a) ⇒ (a³ + 1/a³ ) = (9)3 - (3 x 9) = 729 - 27 = 702 a5+ (1/a5) = (a² + 1/a²) x (a³ + 1/a³) - (a + 1/a) =79 x 702-9 =15134-7 = 55458-7 =55451  The correct answer is 55451.
What value should come in place of (?) in the given expression.
450 ÷ 9 + 75% of 160 − 64 ÷ 4 = ?
2/5 of 3/4 of 7/9 of 14400 = ?
7/3 of 4/5 of 15/56 of ? = 83
[564 + 32 of 18 × 9 ÷ 12 + 162 ] ÷ 4 = ?
What should come in place of (?) question mark in the given expression.
 (25% of 320) + (3/8 of 400) − 30 = ?
45% of 360 - 160 + ? = √324
187 ÷ 5 ÷ 0.4 = ? – 24 × 2.4
Find the simplified value of the following expression:
[{12 + (13 × 4 ÷ 2 ÷ 2) × 5 – 8} + 13 of 8]
18 × 15 + 86 – 58 =? + 38
Â
√(24²+285-8²-172) = ?²
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