Question

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

Answer 1

Answer:a=3 b= -6

Step-by-step explanation:

ax2 +7x+b =0

A quadratic equation is of the form Ax2+Bx+C=0

Here,A=a B=7 C=b

The roots are 2/3 and -3.

The sum of roots =-B/A

2/3-3=-7/a

-7/3=-7/a

a=3

Product of roots =C/A

2/3*-3=b/a

-2=b/3

b=-6