Question
Solve the quadratic equations and determine the relation
between x and y: Equation 1: x² - 24x + 143 = 0 Equation 2: y² - 26y + 165 = 0Solution
From Equation 1: x² - 24x + 143 = 0 Factorizing: (x - 11)(x - 13) = 0 So, x = 11 or x = 13. From Equation 2: y² - 26y + 165 = 0 Factorizing: (y - 11)(y - 15) = 0 So, y = 11 or y = 15. Comparing x and y: x = 11, y = 11 → x = y x = 11, y = 15 → x < y x = 13, y = 11 → x > y x = 13, y = 15 → x < y
- What will come in place of (?), in the given number series.
1, 4, 9, 16, ?, 36 - What will come in place of (?), in the given number series.
2, 5, 10, 17, ?, 37 10, 10, 15, 30, 75, ?
1236, 1445, 1675, 1933, 2226, ?
14, 17, 23, 32, ?, 59
13, 28, ?, 118, 238, 478
1221,     1100,     1000,     919,       ?
...16, 24, ?, 64, 104, 168, 272
14, 34, 19, 29, 24, ? , 29, 19
48, 95, 283, 1129, ?, 33841