Toán Lớp 8: cho $a^{2}$ + $b^{2}$ + $c^{2}$ = ab+bc+ac ,c/m a=b=c
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Toán Lớp 8: cho $a^{2}$ + $b^{2}$ + $c^{2}$ = ab+bc+ac ,c/m a=b=c
Comments ( 2 )
– Mà (a-b)^2 >= 0
=> (a-c)^2 >= 0
(b-c)^2 >= 0
=> (a-b)^2 = 0;
(b-c)^2 = 0
(a-c)^2 = 0
=> (a-b)^2 = 0 <=> a – b = 0 <=> a = b (1)