Exercise 3.9
1. Determine the quadratic equations, whose sum and product of roots are
(i) -9, 20
(ii) 5/3, 4
(iii) -3/2, -1
(iv) −(2 −a )2 , (a + 5)2
2. Find the sum and product of the roots for each of the following quadratic equations
(i) x 2 + 3x − 28 = 0
(ii) x 2 + 3x = 0
(iii) 3 + 1/a = 10/ a2
(iv) 3y 2 − y − 4 = 0
Answers:
1. (i) x 2 + 9x + 20 = 0 (ii) 3x 2 − 5x + 12 = 0 (iii) 2x 2+ 3x − 2 = 0 (iv) x2 + (2-a2)x+(a+5)2 = 0
2.(i) -3 , -28 (ii) -3 , 0 (iii) –1/3, -10 /3 (iv) 1/3, -4/3
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