Question

write down the quadratic equation in general form for which sum and product of the roots are given 5/3,4 and -3/2,-1​

Answer 1

Answer:

(ii) Sum of the roots = 5/3

Product of the roots = 4

Required equation = x2 – (sum of the roots)x + product of the roots

= 0

⇒ x2 – (5/3)x + 4 = 0

⇒ 3x2 – 5x + 12 = 0

(iii) Sum of the roots = (-3/2)

(α + β) = -3/2

Product of the roots (αβ) = (-1)

Required equation = x2 – (α + β)x + αβ = 0

x2 – (-3/2)x – 1 = 0