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Given = {x + (1/x)} = 7 On, squaring both sides, we have; {x + (1/x)}2 = 72 Or, x2 + (1/x)2 + 2 = 49 Or, {x2 + (1/x)2} = 47 On subtracting '2' from both sides, we have; {x2 + (1/x)2 - 2} = 45 Or, {x - (1/x)}2 = 45 So, {x - (1/x)} = 3√5 Since, (a2 - b2) = (a + b) X (a - b) {x2 - (1/x)2} = {x - (1/x)} X {x + (1/x)} = 3√5 X 7 = 21√5
What will be the geometric mean of 'Q' and 'P - Q'.
75, 80, 95, ?, 155, 200
8 13 36 123 ? 2585
45, 59, 31, ?, 17, 87
10, ?, 50, 100, 250, 500
5, 19, 30, 43, 58, ?
13 19 32 52 ? 113
What will come in the place of questions (?) mark in the following questions.
1279, 1265, ? , 1225, 1193, 1149
Find the missing character.
124, 147, 176, 207, 244, ?