Question

if x=2/3 and x=-3 are the roots of the quadratic equation ax^2+7x+b=0 then find the value of a and b

Answer 1

see the pic for the ans hope it is helpful

Answer 2

let the roots be =a&c
we know
$a + c= - coefficient of x \div coefficientof {x}^{2}$
therefore
a+ c=-7/a
2/3 - 3=-7/a
-7/3=-7/a
a=3
$a \times c = coefficientoftheconstant \div coefficientofthe {x}^{2}$
ac=b/a
2/3x-3=b/a
b=-2x3
b=-6