Question

if x = 2/3 and X= - 3 are the roots of the quadratic equation ax square + 7 x + b = 0 .find the values of a and b.​

Answer 1

answer is

$x { }^{2} + 7x - 2$

Answer 2

hey friend 

this will be done by taking two cases

CASE I_when x=2/3

a(2/3)²+7(2/3)+b=0

4/9a+14/3+b=0

4a+42+9b=0--------------------------1

CASE II_when x=-3

a(-3)²+7(-3)+b=0

9a-21+b=0----------------------------2

solving 1 and 2

we get,

b=-6 and a=3

hope it helps !

thanks