Solve for x: (i) `10x^(2)-27x+5=0` (ii) `pqx^(2)-(p^(2)+q^(2))x+pq=0`

Explanation

If the particle moves along positive x-direction, its x-coordinate must increase with time t.
x-coordinate will increase with time t if `(dx)/(dt) gt 0`.
`(dx)/(dt)=4 -2t`
`(dx)/(dt) gt 0rArr 4-2t gt 0rArr t lt 2`
Hence, the particle moves in positive x-direction during time-interval `0 lt t lt 2`.