Question

2. If the equations x2 + bx + ca = 0 and x2 + cx + ab = 0 have a non-zero common root, prove
that a + b + c = 0 and their other root satisfy x2 + ax + bc = 0.​

Answer 1

Step-by-step explanation:

If x

2

+ax+bc=0 and x

2

+bx+ca=0(a



=b) have a common root, then prove that their other roots satisfy the equation x

2

+cx+ab=0.