Question

The ratio of the sum and product of the roots of the quadratic equation 5x2-6x+21 = 0 is :

(A) 5:21

(C) 21:5

(B) 2:7

(D) 7:2

Answer 1

Correct answer is (B) 2:7

Explanation:

Sum of the roots = - b/a = -(-6)/5= 6/5

Product of the roots = c/a= 21/5

Ratio 6/5 : 21/5 = 6 : 21 = 2 : 7

The ratio of the sum and product of the roots of the quadratic equation 5x2 - 6x + 21 = 0 is 2:7.