Question

Q - 34

Answer 1

Sine -1 is a root of `x^2 + px  +q = 0` we have

`(-1)^2 + p(-1) + q = 0`

`=> 1  - p  +  q = 0`

=> -p + q = -1 ...(1)

Also 3 is root of  `x^2 + px + q = 0`

`=> (3)^2 + p(3) + q  = 0`

=> 9 + 3p + q = 0

=> 3p + q =-9 ...(ii)

Substracting equation 2 from 1  we get

-4p = 8

=> p = -2

`=> -(-2) + q = -1 .....[From (1)]`

=> q = -3

Hence p = -2 and q= -3