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Grade 12Algebra

If (1/b+c) +(1/c+a)=(2/a+b) find a^2+b^2 please give the solution.

Profile image of Samir Madan
12 Years agoGrade 12
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3 Answers

Profile image of bharat bajaj
ApprovedApproved Tutor Answer12 Years ago
Take LCM ,
(2c+a+b)/(a+c)(b+c) = 2/a+b
Cross multiply:
a^2 + b^2 + 2ab + 2bc + 2ac = 2bc + 2ab + 2c^2 + 2ac
This gives,
a^2 + b^2 = 2. c^2
Thanks
Bharat Bajaj
askiitians faculty
IIT Delhi
Profile image of bharat bajaj
12 Years ago
Take LCM ,
(2c+a+b)/(a+c)(b+c) = 2/a+b
Cross multiply:
a^2 + b^2 + 2ab + 2bc + 2ac = 2bc + 2ab + 2c^2 + 2ac
This gives,
a^2 + b^2 = 2. c^2


Thanks
Bharat Bajaj
IIT Delhi
askiitians faculty
Profile image of R1312467
ApprovedApproved Tutor Answer12 Years ago
Take LCM , (2c+a+b)/(a+c)(b+c) = 2/a+b Cross multiply: a^2 + b^2 + 2ab + 2bc + 2ac = 2bc + 2ab + 2c^2 + 2ac This gives, a^2 + b^2 = 2. c^2