SOLUTION: if a/b = b/c prove that (a+b+c)(a-b+c) =(a^2 + b^2 + c^2) [ hints : let a/b = b/c = k therefore b = ck and a = ck^2]

SOLUTION: if a/b = b/c prove that (a+b+c)(a-b+c) =(a^2 + b^2 + c^2) [ hints : let a/b = b/c = k therefore b = ck and a = ck^2]

Algebra.Com

Question 967458: if a/b = b/c prove that (a+b+c)(a-b+c) =(a^2 + b^2 + c^2) [ hints : let a/b = b/c = k therefore b = ck and a = ck^2]
Answer by anand429(138) (Show Source): You can put this solution on YOUR website!
Let
therefore and
So, LHS =
=
= (Using )
=
=
=
=
=
= RHS. proved.
RELATED QUESTIONS
if a^2+b^2=c^2 than prove that... (answered by Edwin McCravy)

find a,b and c if (a b c)+c a b)=(3 2 c) (answered by Fombitz)

Let a= -2, b= 3, and c= -1... (answered by Fombitz)

if a,b,c,d are in continued proportion, prove that... (answered by Edwin McCravy)

If a,b,c are in AP then prove that a^2(b+c),b^2(c+a),c^2(a+b) are in... (answered by Edwin McCravy)

a ^ ( b ^ c) prove... (answered by Fombitz)

If (a+b)^2 + (b+c)^2 + (c+d)^2 = 4(ab+bc+cd), prove... (answered by mananth)

If c = a x b and b = a x c then prove that b = c =... (answered by ikleyn)

a/(b+c) + b/(a+c) +c/(a+b)=1 then a^2/(b+c) + b^2/(a+c) +c^2/(a+b)... (answered by Edwin McCravy)