If the roots of (a − b) x2 + (b − c) x + (c −a) = 0 are real and equal, then prove thatb, a, c are in arithmetic progression.

If the roots of (a − b) $x^{2}$ + (b − c) x + (c −
a) = 0 are real and equal, then prove that
b, a, c are in arithmetic progression.

Matching exercise

Match the items on the right to the items on the left.

Step1

Step2

Step3

Step4

Step5