Question

if a 2b and c are in A.P prove that 4(4b2_ac)=(a_c)2​

Answer 1

Step-by-step explanation:

Given a,2b,c are in A.P

so,Arithmetic mean is

2b=(a+c)/2

4b=a+c....eq1

4(4b^2-ac)=16b^2-4ac

=(a+c)^2-4ac

=a^2+c^2+2ac-4ac

=a^2+c^2-2ac

=(a-c)^2