Question

if x=-2/3and x=3 are the roots of the equation ax²+7x+b=0 find the value of a ana b​

Answer 1

Step-by-step explanation:

x= - 2/3 is root of the given equation.

therefore, x=-2/3 satisfies the given equation.

therefore, a(-2/3)²+7.(-2/3)+b=0

or, 4a/9-14/3+b=0

or, 4a+9b=42............ (1)

again, x=3 is also a root of the given equation.

therefore, a.3²+7.3+b=0

or, 9a+b = -21................. (2)

solving equation (1) and (2) we get,

a= -3 and b=6