Question

if X equal to 2 by 3 and X equal to -3 are roots of the quadratic equation X square + 7 x + b equal to zero find the values of a and b​

Answer 1

Answer:

a = -11/3  and  b = 2

Step-by-step explanation:

x = 2/3 and x= -3

Using k(x^2 - S x + P) = 0, we get,

k{x^2 - (2/3 + 3)x + (2/3 x 3)} = 0

put k=1

final equation : x^2 - (11/3)x + 2 = 0

By comparing it to x^2 + a x + b = 0, we get,

a = -11/3  and  b = 2