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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
The population of a town increased to 13,520 in 2022 at a rate of 4% per annum. Find the population of that town in 2020.
A company has two employees, Employee A and Employee B. Employee A earns 180,000 annually, and Employee B earns 210,000 annually. If Employee A’s sala...
31.5 ÷ 1.75 × 6 – 12 = ? + 34
The average age of 4 children is 12 years. The difference between the ages of the eldest and the youngest child is 10 years. If the second and third chi...
The height of a right circular cone is 7 cm, and its volume is 733(1/3) cm³. Determine the diameter of the cone.
24.5% of 400 + 528 of 12.5 ÷ 11
A square prism has a base side of 10 cm and a height of 15 cm. If a cone with the same base and height is removed from the prism, what is the volume of ...
Evaluate the area under y = 2x + 1 between x = 0 and x = 3:
A boat can travel 225 km downstream in 5 hours. If the speed of the boat in still water is 7 times the speed of the stream, how m...
120 litres of mixture contains water and milk in the ratio 5:6 respectively. If 32 litres of the mixture is replaced by same quantity of water, then fin...