If x=2/3 and x=-3 are the roots of the equation ax^2+7x+b=0 find the values of a and b

ANSWER:  

If x = and x = -3 are the roots of the equation, then values of a and b are 3, -6

SOLUTION:

Given, quadratic equation is and its roots are -3 ,

We know that, for any quadratic equation of form with roots then,

Sum of roots =

Product of roots ( =

Now, for given quadratic equation = -3 and =

hence Sum of roots =

on solving we get "a" = 3

Now product of roots =

b = -6

hence, the values of a and b are 3, -6.

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d