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. p2 - 19p + 88 = 0  Â
II. q2Â - 48q + 576 = 0
What will be the product of smaller roots of both equations.Â
I. 12y2 + 11y – 15 = 0
II. 8x2 – 6x – 5 = 0
I. 2y2 – 19y + 35 = 0
II. 4x2 – 16x + 15 = 0
I. x2 + 24x + 143 = 0
II. y2 + 12y + 35 = 0
I. 27x6-152x3+125=0
II. 216y6Â -91y3+8=0
I. 8x² + 2x – 3 = 0
II. 6y² + 11y + 4 = 0
I. x2-2x- √5x+2√5 = 0
II. y2-√3 y- √2 y+ √6 = 0
...I. 2x2 – 25x + 33 = 0
II. 3y2 + 40y + 48 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 29x² - 137x + 108 = 0
Equation 2: 31y² - 146y + ...