Question
The difference between the cubes of two given natural
numbers is 6272, while the positive difference between the two given numbers is 8. What is the sum of the cubes of the two given numbers?Solution
The correct answer is A
I. 15y2 + 4y – 4 = 0
II. 15x2 + x – 6 = 0
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
I. 15b2 + 26b + 8 = 0
II. 20a2 + 7a - 6 = 0
I. x2 – 12x + 32 = 0
II. y2 + y - 20 = 0
I. 6y2 - 17y + 12 = 0
II. 15x2 - 38x + 24 = 0
I. 4x2 – 53x – 105 = 0
II. 3y2 – 25y + 48 = 0
I. 9/(4 )p + 7/8p = 21/12
II. 7/5p = 9/10q + 1/4
I. 20y² - 13y + 2 = 0
II. 6x² - 25x + 14 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x² + 6x - 9 = 0
Equation 2: 2y² - 16y + 32 = 0
Quantity I: A vessel contains a mixture of milk and water in the ratio of 7 : 5. If 9 litre of mixture is sold and replaced by same amount of water then...