Question

Answer the following:

How many quadratic equations can be formed using numbers from 0, 2, 4, 5 as coefficients if a coefficient can be repeated in an equation?

Answer 1

Let the quadratic equation be ax² + bx + c = 0, a ≠ 0

Coefficient	Values	Number of ways
a	2, 4, 5	3
b	0, 2, 4, 5	4
c	0, 2, 4, 5	4

Required number = 3 × 4 × 4 = 48