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I. x2 - 4x – 21 = 0 => x2 - 7x + 3x – 21 = 0 => x(x – 7) + 3(x – 7) = 0 => (x – 7) (x + 3) = 0 => x = 7, -3 II. y2 + 12y + 20 = 0 => y2 + 10y + 2y + 20 = 0 => y(y + 10) + 2(y + 10) = 0 => (y + 10) (y + 2) = 0 => y = -10, -2 Hence, x = y or the relationship cannot be established.
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...
