Question
Solve the quadratic equations and determine the relation
between x and y: Equation 1: 2x² - 8x + 6 = 0 Equation 2: y² - 7y + 10 = 0Solution
From equation 1: 2x² - 8x + 6 = 0 Dividing by 2: x² - 4x + 3 = 0 Factorizing: (x - 3)(x - 1) = 0 So, x = 3 or x = 1. From equation 2: y² - 7y + 10 = 0 Factorizing: (y - 5)(y - 2) = 0 So, y = 5 or y = 2. Comparing x and y: x = 3, y = 5, x < y x = 3, y = 2, x > y x = 1, y = 5, x < y x = 1, y = 2, x < y Correct option: E) x = y or no relation
I. x2 - x - 56 = 0
II. y2 - 20y + 96 = 0
I. 6 y² + 11 y – 7= 0
II. 21 x² + 5 x – 6 = 0
I. 35 y² + 58 y + 24 = 0
II. 21 x² + 37 x + 12 = 0
(i) x² – 3x – 40 = 0
(ii) y² + 11y + 30 = 0
1.3wx = 40 – wy
2. b2 = 2b + p
3. d2 + d = q
Now, observe the given conditions:
One root of equation...
I. x2 – 13x + 40 = 0
II. 2y2 – 15y + 13 = 0
The equation q2 - 17x + C = 0, has two roots ‘x’ and ‘y’ such that (x – y) = 7. Find an equation which is equal to thrice of the gi...
I. 25p + 2(2p2 – 1) = 8(p + 5)
II. 8q2 + 35q – 78 = 0
I. 195x² - 46x - 21 = 0
II. 209y² + 13y - 12 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 37x² - 172x + 135 = 0
Equation 2: 29y² - 132y + ...
