Question

A 2-digit number is seven times the sum of its digits and two (2) more than 5 times the product of its digits. Find the number.

Find the value(s) of p for which the quadratic equation given as (p + 4) x² − (p + 1) x + 1 = 0 has real and equal roots. Also, find the roots of the equation(s) so obtained.

The value of 'a' for which ax² + x + a = 0 has equal and positive roots is :

If α and β are the zeroes of the polynomial p(x) = x² − ax − b, then the value of (α + β + αβ) is equal to :