Question

If a b c are in



a.p. then prove that (a-c)^2=4(b^2-ac)

Answer 1

A, b, c are in A. P.

SO,

We can say that,

=> b - a = c - b

or, c +a = 2b

Squaring both sides
=-=-=-=-=-=-=-=-=-=-=-=

=> ( c +a) ² = (2b)²

or, (c - a) ² +4ac = 4b²

or, (c-a) ² = 4b² - 4ac

or, (c-a) ² = 4(b² - ac)

____<proved>______

Hope this is ur required answer

Proud to help you

Answer 2

Answer:

here is your answer....

I hope it will help u....