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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 + 3*x* − 28 = 0

(ii) *x* 2 + 3*x* = 0

(iii) 3 + 1/*a* = 10/ *a*2

(iv) 3*y* 2 − *y* − 4 = 0

Answers:

1. (i) *x *2* *+* *9*x *+* *20* *=* *0 (ii) 3*x* 2 − 5*x* + 12 = 0 (iii) 2*x* 2+ 3*x* − 2 = 0 (iv) *x*2 + (2-*a*2)*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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10th Mathematics : UNIT 3 : Algebra : Exercise 3.9: Quadratic Equations | Problem Questions with Answer, Solution | Mathematics

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