Question

If a, b and c are real numbers, and triangle =`|(b+c, c+a, a+b),(c+a,a+b, b+c),(a+b, b+c, c+a)|` = 0 Show that either a + b + c = 0 or a = b = c.

Answer 1

Hence, if Δ = 0, then either a + b + c = 0 or a = b = c.