Mathematics Higher Level Robert Joinson

©Sumbooks2002Higher Level15. Trial and ImprovementExercise 1By using the method of trial and improvement, calculate the value of x in each of the followingequations. In each case show all your workings and give each answer correct to 1 decimal place.1) x 3 = 532) x 3 = 773) x 3 = 1014) + x = 365) 2x 2 + x = 416) x 2 + 3x = 61x 27) 5x 2 – 3x = 120 8) 6x 2 – 2x = 77 9) 3x 2 – 5x = 510) + 3x = 1611) x 3 – 3x = 96 12) x 3 – 4x = 12x 313) 2x 3 + 4x = 96 14) 3x 3 – 4x = 14 15) 2x 3 – 5x = 4Exercise 21) A square has an area of 45 cm 2 . Using the method of trial and improvement, calculate thelength of its sides, correct to one decimal place. Show all your calculations.2) A rectangle has one side 4cm longer than the other. If its area is 100 cm 2 , use the method oftrial and improvement to calculate the length of the shorter side, correct to 1 decimal place.Show all your calculations.3) The perpendicular height of a triangle is 2cm greater than its base. If its area is 35 cm 2 , usethe method of trial and improvement to calculate its height, correct to 1 decimal place. Showall your calculations.4) A cube has a volume of 36 cm 3 . Use the method of trial and improvement to calculate thelength of one of its sides, correct to 1 decimal place. Show all your calculations.5) A cuboid has a height and length which is 3cm longer than its width. Its volume is 150cm 3 .Use the method of trial and improvement to calculate its width, correct to 1 decimal place.Show all your calculations.6) The solution to the equation + 3x = 7 lies between 1 and 2. Use the method of trial andx 2improvement to calculate its value, correct to 1 decimal place. Show all your calculations.7) Using the method of trial and improvement, solve the equation x 3 + 3x – 22 = 0, correct toone decimal place. Show all your calculations.8) The solution to the equation + 4x = 48 lies between 3 and 4. Use a method of trial andx 3improvement to find the solution tocalculations.x 3+ 4x = 48, correct to 1 decimal place. Show all your