Question

Which of the following quadratic equations has real and equal roots ?

Find the zeroes of the polynomial q(x) = 8x² – 2x – 3. Hence, find a polynomial whose zeroes are 2 less than the zeroes of q(x).

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.