1.Calculati media aritmetica si media geometrica a numerelor [latex] \sqrt{ 7- 4\sqrt{3} [/latex] si [latex] \sqrt{ 7+ 4\sqrt{3} [/latex] 2. Calculati [latex][ \frac{1}{4} ] + [ \frac{2}{4}]+[ \frac{3}{4} ]+...+[ \frac{100}{4}].[/latex]
(1) Răspunsuri
1) √( 7-4√3)= √(7-√48) A=7 B=48 C²=49-48=1 √(7-√48)= √(7+1)/2 - √(7-1)/2= √8/2 - √6/2= √4 -√3= 2-√3 ma= (2-√3+2+√3)/2= 4/2=2 mg= √ab= √(2-√3)(2+√3)= √4-3=1 2) 1/4 + 2/4 + 3/4+...+ 100/4= =[(1+100)*100/2 ]/4= = (101*50)/4= =101* 25/2= =2525/2= 1262,5
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