Question

if x=2/3 and x= -3 are roots of the quadratic equations ax^2+7x+b=0,find the value of a&b​

Answer 1

Answer:

a = -3 , b = 6

Step-by-step explanation:

sum of roots = 2/3 - 3 = -7/3

product of roots = 2/3 × -3 = -2

quadratic equation is x^2 -(sum of roots)x + product of roots = 0

so equation is

x^2 -7x/3 -2 =0

multiply by -3

-3x^2 + 7x +6 = 0

so by conoarison, a= -3 and b = 6