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Quadratic equation

Find the quadratic equation sum of whose roots is 3 and the sum of cubes of roots is 7


Divya Suriyakumar

Divya Suriyakumar

CA Inter

17K+

25-Feb-20 12:25

47

Answers (3)

2,-1


rishi pandey

rishi pandey

CA Foundation

1K+

25-Feb-20 19:14

2,-1

How


Chinna Sai

Chinna Sai

CA Foundation

7K+

26-Apr-20 07:36

Let roots be a & b; a + b = 3; (a)3 +(b)3 = 7 (a+b)3 = a3 +b3 +3ab(a+b) (a+b)3 = 7 + 3ab( 3) (3)3 = 7 + 9ab 9ab = 20 ab = 20/9 a+b = 3 A quadratic equation is x² - (sum of roots) x + product of roots= 0 x² - 3x +  20/9 = 0 9x² -27x +  20 = 0


Sriram Somayajula

Sriram Somayajula

Admin

27-Apr-20 19:35