Question

if 2 and 1/2 are the zeros of the polynomial ax²+5x+b show that a=b.​

Answer 1

Answer:

To prove: a=b

Let @ and ß the the zeros of above polynomial

Implies,

@=2 and ß=1/2

Sum of Zeros:

@+ß= -5/a

→2+1/2 = -5/a

→3/2= -5/a

→3a= -10

→a= -10/3

Product of Zeros:

@ß= 5/c

→2(1/2)=5/c

→1=5/c

→c=5