CONTENT
- Construction of Quadratic Equations from Sum and Product of Roots.
- Word Problem Leading to Quadratic Equations.
Evaluation
1. Think of a number, square it, add 2 times the original number. The result is 80. Find the number.
2. The area of a square is 144cm2 and one of its sides is (x+2)cm. Find x and then the side of the square.
3. Find two consecutive odd numbers whose product is 224.
GENERAL EVALUATION/REVISION QUESTIONS
1. The area of a rectangle is 60cm2. The length is 11cm more than the width. Find the width.
2. A man is 37years old and his child is 8. How many years ago was the product of their ages 96?
3. If α and β are the roots of the equation 2x2 – 9x+4=0, find
a) α + β (b) αβ (c) α – β (d) αβ/ α + β
WEEKEND ASSIGNMENT
If α and β are the roots of the equation 2x2 + 9x+9=0:
1. Find the product of their roots. A. 4 B. 4.5 C. 5.5 B. -4.5
2. Find the sum of their roots. A. 4 B. 4.5 C. 5.5 B. -4.5
3. Find α2+β2 A. 11.5 B. -11.25 C. 11.25 D. -11.5
5. Find αβ/ α + β A. 1 B.-1 C. 1.5 D. 4.5
THEORY
1. The base of a triangle is 3cm longer than its corresponding height. If the area is 44cm2, find the length of its base.
2. Find the equation in the form ax2+bx+c=0 whose sum and products of roots are respectively:
a) 3,4 (b) -7/3 , 0 (c) 1.2,0.8
Reading Assignment
Essential Mathematics for SSS2, pages 50-54, exercise 4.6 and
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