Question
The cube of the difference between two given natural
numbers is 1728, while the product of these two given numbers is 108. Find the sum of the cubes of these two given numbers.Solution
1st natural number = x 2nd natural number = y (x - y)3 = 1728 (x - y) = 3√1728 = 12 squaring both sides (x - y) ² = 144 x2+y2-2xy =144 x² + y² = 144 + 216 = 360 Now, (x + y) = √ (x² + y² + 2xy) =√ (360 + 216) = √576 = 24 (x + y) ³ = x³ + y³ + 3xy x (x + y) x³ + y³ = (x + y) ³ -3xy × (x + y) = (24)3 - 3 x 108 x 24 =13824-7776 = 6048
What is false about linked list?
Which layer of the TCP/IP model is responsible for IP addressing and routing?
Which hazard occurs when there is a conflict in accessing a shared resource, such as a register file or an ALU, in an instruction pipeline?
Which consensus mechanism is used by Bitcoin, the first blockchain-based cryptocurrency?
In dynamic programming, what does "optimal substructure" mean?
What is a "token" in lexical analysis?
Which sorting algorithm is known for its best-case time complexity of O(n) when the input is already partially sorted?
Which data visualization technique is commonly used to represent the frequency distribution of a large dataset?
An XML document is a string of ____.
Which of the following algorithm is most sensitive to outliers?
Relevant for Exams:
