Question
You are provided with three
sequences below. Determine the values of P, Q, and R, and then identify the relationship among them. (i) 840, P, 584, 456, 520, 488 (ii) 750, 21, 264, (P/2 + 19), 210, Q (iii) 225, 250, Q, 282, 161, RSolution
ATQ, Series (i), 840 - 29 = 328 328 + 28 = 584 584 - 27 = 456 456 + 26 = 520 520 - 25 = 488 P = 328 Series (ii), P/2 + 19 = 328/2 + 19 = 164 + 19 = 183 750 - 36 = 21 21 + 35 = 264 264 - 34 = 183 183 + 33 = 210 210 - 32 = 201 Q = 201 Series (iii), 225 + 52 = 250 250 - 72 = 201 201 + 92 = 282 282 - 112 = 161 161 + 132 = 330 R = 330 R > P > Q
- What should be the value of t in the equation x² + tx + 64 = 0 so that it has two equal real roots?
I. 2x² + 11 x + 15 = 0  Â
II. 2y² - 19 y + 44 = 0  Â
Find the value of 'x' and 'y' in the following equation:
8x - 3y = 58
5x + 2y = 106
If x + 1/x = 3, find x² + 1/x².
I. 2x2 - 5x - 33 =0
II. 2y2 + 5y - 25 = 0
(i) 2x² + 14x - 16 = 0
(ii) y² – y – 12 = 0
I. 96y² - 76y – 77 = 0
II. 6x² - 19x + 15 = 0
I.70x² - 143x + 72 = 0
II. 80 y² - 142y + 63 = 0
I. x² + 3x – 154 = 0
II. y² + 5y – 126 = 0
I. 12a2 – 55a + 63 = 0
II. 8b2 - 50 b + 77 = 0
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