**Q) **Find the value of ‘p’ for which one root of the quadratic equation px^{2} – 14x + 8 = 0 is 6 times the other.

**Ans: **

Let one the roots be then by the given condition, other root is 6

We know that sum of roots (α + β) =

Sum of roots α + 6α =

or α =

Next, we know that the product of the roots (α x β) =

α . 6α =

or 6

or 6

or **p = 3**