Matemática

a-b=1 e a.b=1 (a.a) + (b.b) =? A. 0 B. 1 C. 2 D. 3 E. 5


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junior584

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[latex] \left \{ {{a=1+b} \atop {b= -1+a}} \right. [/latex] (1+b).b=1                                    (-1 +a).a=1 b+[latex]b^{2} [/latex]=1                     -a+[latex] a^{2} [/latex]=1 [latex] b^{2} =1-b[/latex]                    [latex] a^{2} = 1+a[/latex] [latex] a^{2} +b^{2} = 1+a -b +1[/latex]= 1 (+a -b) +1= 1 +1 +1 = 3

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