Question
I. 104x² + 9x - 35 = 0 II. 72y² - 85y +
25 = 0 In the following questions two equations numbered I and II are given. You have to solve both the equations. Give answer :Solution
I. 104x² + 9x - 35 = 0 104x² + 65x - 56x - 35 = 0 13x (8x + 5) – 7(8 x + 5) = 0 (13 x - 7) (8x + 5) = 0 ∴ x = 7/13 , - 5/8 II. 72y² - 85y + 25 = 0 72y² - 40 y - 45y + 25 = 0 8y(9 y – 5) - 5 (9 y – 5) = 0 (8 y - 5)(9 y – 5) = 0 ∴ y = 5/8 , 5/9 Hence, x < y
l. x2 - 16x + 64 = 0
II. y2Â = 64
I. 14p² + 9p - 8 = 0
II. 4q² - 19q + 12 = 0
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
 If 4x = 40, 3y = 33, what is the value of 6x + 4y?
I. 17x² - 26x – 16 = 0
II. 17y²- 26y + 9 = 0
Equation 1: x² - 144x + 5184 = 0
Equation 2: y² - 130y + 4225 = 0
I. 20y² - 13y + 2 = 0
II. 6x² - 25x + 14 = 0
- Suppose both the roots of q² + kq + 49 = 0 are real and equal, then determine the value of 'k'.
I. x2 – 36 = 0
II. y2 - 7y + 6 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 29x + 210 = 0
Equation 2: y² - 27y + 182 = 0
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