Question

2x² – 9x + 10 = 0, When
(1) x∈ N
(2) x∈ Q

Answer 1

`2x^2 - 9x + 10 = 0`

`=> 2x^2 - 5x - 4x - 10 = 0`

=> x(2x - 5)- 2(2x - 5) = 0

=> (2x - 5)(x - 2) = 0

=> 2x  -  5 = 0 or x  - 2 = 0

1) When x  ∈ N, we have x  =   2

2) When x ∈ Q, We have `x = 2, 5/2`