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I. 35x² - 24x – 35 = 0 35x² + 25x - 49x – 35 = 0 5x(7x + 5) – 7(7x + 5) = 0 (5 x – 7) (7 x + 5) = 0 ∴ x = 7/5, -5/7 II. 72y² - 145y + 72 = 0 72y² - 64y - 81y + 72 = 0 8y(9y – 8) - 9(9y – 8) = 0 (8y – 9) (9y – 8) = 0 ∴ y = 9/8, 8/9 Hence, relationship cannot be established between x and y.
What will come in place of the question mark (?) in the following series?
2.5, 6.5, 18.5, 54.5, 162.5, 486.5, ?
84, 63, ?, 283.5, 1701
18, 21, 45, 138, 555, ?
Find the missing character.
12, 12, 30, 120, ?, 4620
{(12√5 + 6√5 )} ×{(10√5 - 5√5 )} - 8² + 6² = ?
135, 148, ?, 184, 207, 236
150 15 3 ? 0.36 0.18
115, 138, 163, 190, 219, ?
1595, 1083, 740, 524, 399, ?