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3.04AE SECOND DEGREE EQUATIONS Total Score : 20, , ‘Time : 40 minutes, , 1, a) Which number is to be added to x’ + 12a to get aperfect square ?, , b) Find the natural number value of 2 from the equation 2*+ 12a = 64? (3), 2.1 added to the product of two consecutive odd numbers gives 256 ., , a)Write down a second degree equation by taking the smaller number as 2, , b) What are the numbers ? @), 3. When each side of a square was increased by 3 metres , the area became 400 square , metres ., a) Write down a second degree equation by taking the side of the original square as a, b) What was the length of a side of the original square ? (3), , 4. 9 added to the product of two consecutive multiples of 6 gives 225 ., , , , a) Write down a second degree equation by taking the smaller multiple as 2, , b) What are the numbers ? (3), 5, The longer side of a rectangle is 4 centimetres more than its shorter side . The area of, , the rectangle is 320 square centimetres ., , a) Write down a second degree equation by taking the shorter side as, , b) What are the lengths of its the sides ? (4), 6. The perimeter of a rectangle is 40 centimetres and its area is 96 square centimetres ., , a) What is the sum of the lengths of the longer and the shorter sides of the rectangle ?, , b)Write down a second degree equation by taking the length of the longer side as 10+, , ©) What are the lengths of its the sides ? (4)
