Question
The cube of the difference between two given natural
numbers is 1000, while the product of these two given numbers is 56. Find the positive difference between the cubes of these two given numbers.Solution
1st natural number = x 2nd natural number = y (x - y)3 = 1000 (x - y) = 3√1000 = 10        … (1) squaring both sides  (x - y) ² = 100 x2+y2-2xy =100 x² + y² = 100 + 112 = 212 Now, (x + y) = √ (x² + y² + 2xy) =√ (212 + 112) = √324 = 18 … (2) Now Eq (1) +Eq (2). x-y+x+y =10+18=28 2x =28 x=14 y=4 Now positive difference between the cubes= (14)3-(4)3 =2744-64 =2680.
A person who advocates separation of the state from religious institutions is called a
In 1976, in which Part of the Indian Constitution under Article 51A were Fundamental Duties added?
Where is the first a private agricultural mandi (market) was setup in India?
Green Climate Fund’s thirty-fourth meeting of the Board will take place from Monday, 24 October to Thursday, 27 October 2022, its headquarters is in _...
Which of the following cities has been included in the top ten cities in the Sustainable Development Goals (SDG) Urban Index and Dashboard 2021-22 by NI...
In which of the following Stadiums does the Madhya Pradesh Cricket team play the majority of their home games in Ranji Trophy?
The intricate Kasuti embroidery, honoured with a Geographical Indication (GI) tag and known for reflecting the traditions and customs of women through d...
Following Rome's withdrawal, which city has been selected to host the 2027 World Athletics Championships?
Heron drones, inducted by Indian forces for enhancing their surveillance capability, are acquired from
Acid rain results when ____ is emitted into the environment.
