25.(a)If b is the geometric mean of a and c ,express b^2 in terms of a and c.
(b)hence show that a(b+c)^2=c(a+b)^2.
answers(a)b^2=ac
How to take (b)??pls
(^2=squares)
geometric mean pls??
2007-05-26 9:13 pm
回答 (1)
2007-05-26 9:38 pm
✔ 最佳答案
geometric mean of a set of real no:{a1,a2,a3.....,an} is Π(a1,a2,a3.....,an) ^(1/n)so the geometric mean of a and c =(ac)^(1/2)=b--->b^2=ac
LHS=a(b+c)^2=a(b^2+2bc+c^2)=a(ac+2bc+c^2)=c(a^2+2ab+ac)=c(a^2+2ab+b^2)=RHS
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