Question

-9.If the roots of the Quadratic equation (a-b)x²+(b-c)x + (c-a) =0 are equal. Then
prove that 2a = b+c.​

Answer 1

Answer:

for equal roots

b²-4ac=0

[b-c]²-4[a-b][c-a]=0

b²+c²-2bc-4[ac-a²-bc+ab]=0

b²+c²-2bc-4ac+4a²+4bc-4ab=0

[b+c-2a]²=0

b=c=2a proved

Step-by-step explanation:

Answer 2

plz refer to this attachment ....