Question

If the roots of the equation b minus 3 x square + c minus a x + a + b equal to zero are equal then prove that 2 b is equal to a + c

Answer 1

Answer:

If you mean (b-c)x²+(c-a)x+(a-b)=0

Since roots are equal

D=0

b²-4ac

(C-a)²-4(b-c)(a-b)

C²+a²-2ac-4ab+4b²+4ac-4bc=0

c²+a²+4b²+2ac-4bc-4ab=0

(A+(-2b)+c)²=0

A-2b+C=0

A+c=2b

Step-by-step explanation: