Question
Solution
ATQ,
Sum = 5/2, product = 3/2 1/x₁² + 1/x₂² = (x₁² + x₂²)/(x₁x₂)² = [(sum)² – 2×prod]/(prod)² = [(25/4 – 3)/(9/4)] = (13/4)/(9/4) = 13/9.
- 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
II. 2y² - 19 y + 44 = 0
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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