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Let x+4 = m x = m – 4 Now, x² + x = 11 (m – 4)² + m – 4 = 11 m² + 16 - 8m + m – 4 – 11 = 0 m² + 1 - 7m = 0 m² + 1 = 7m Dividing the equation by m We get, m + 1/m = 7 m³ + 1/m³ = (m + 1/m)³ - 3(m + 1/m) = 343 – 21 = 322
If the numerator of a fraction is increased by 300% and the denominator is increase by 600%.The resultant fraction is 1/2. What was the original fraction?
In an examination, two students participated, where one student scored 15 marks higher than the other. If the higher-scoring student's marks constitute ...
How many numbers between 150 and 600 are divisible by both 5 and 7?
How many 3-digit numbers are completely divisible by 5?
Convert 32.56 into binary system?
What is the largest three-digit number that, when divided by either 13 or 17, results in a remainder of 2?
How many integers between 100 and 750 are divisible by both 18 and 24?
An unknown number is first multiplied by 111 and then 63 is added to it. When the resultant number is divided by 9, the quotient and remainder obtained ...
A sum of money is shared in the ratio of 2:3:5. The smallest share is divided again in the ratio of 1:3. What fraction of the total sum of money is the ...
Sum of squares of three consecutive numbers is 1325. Find the sum of first and third number.
