Write the quadratic equation whose roots are `5/2` and `8/3`.

Explanation

Sum of the roots `= 5/2 + 8/3 = 31/6`.
Product of the roots `= 5/3(8/3) = 20/3`.
The required equation is, `x^(2)` - (sum of the roots) x + (proudct of the roots) = 0
`rArr x^(2) - (31/6) x + (20)/(3) =0`
`rArr 6x^(2) - 31x + 40 = 0`
`:.` a quadratic equation with roots `5/2` and `83` is `6x^(2) - 31x + 40 = 0`.