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darneda1
@darneda1
July 2022
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докажите тождество.:
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((sqrt(a))/(sqrt(a)-sqrt(b)) - (sqrt(b)/(sqrt(a)+sqrt(b)))/(a-b)*(a-b)/a(a+b)=1/a
((sqrt(a)(sqrt(a)+sqrt(b)-sqrt(b)(sqrt(a)-sqrt(b)))/a(a+b)=1/a
(a+sqrt(a*b)-sqrt(a*b)+b)/a(a+b)=1/a;
(a+b)/a(a+b)=1/a;
1/a=1/a;
ОДЗ:
a>0,a<>b,a<>-b,a<>0,b>0,где <>-не равно
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Answers & Comments
((sqrt(a)(sqrt(a)+sqrt(b)-sqrt(b)(sqrt(a)-sqrt(b)))/a(a+b)=1/a
(a+sqrt(a*b)-sqrt(a*b)+b)/a(a+b)=1/a;
(a+b)/a(a+b)=1/a;
1/a=1/a;
ОДЗ:
a>0,a<>b,a<>-b,a<>0,b>0,где <>-не равно