Question

In the quadratics equation x² ax b=0 and x² cx d=0, and d are the roots of the first equation, and a and b are the roots of the second equation, respectively. Find all possible non-zero real values of a, b, c, and d.

Answer 1

The possible values for a, b, c, and d are any pair of equal values.

Step-by-step explanation:

The quadratic equations are given as x² + ax + b = 0 and x² + cx + d = 0, with d as the roots of the first equation and a and b as the roots of the second equation. To find the possible values of a, b, c, and d, we can equate the two equations:

x² + ax + b = x² + cx + d

By comparing the coefficients, we can set up a system of equations to solve for a, b, c, and d:

1. a = c
2. b = d

So the possible non-zero real values for a, b, c, and d are any pair of equal values.