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Консультация № 202380
20.03.2022, 22:57
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Здравствуйте! У меня возникли сложности с таким вопросом:
Действительные числа a, b, c, d, x, y, z, t таковы, что
и 
причём a+b+c+d+x+y+z+t=8. Докажите, что 
Действительные числа a, b, c, d, x, y, z, t таковы, что
и причём a+b+c+d+x+y+z+t=8. Докажите, что
Обсуждение
22.03.2022, 09:31
общий
Здравствуйте! Какими?
Понятно, что, если все числа равны 1, то сумма квадратов равна 8, а если не все?
Понятно, что, если все числа равны 1, то сумма квадратов равна 8, а если не все?
22.03.2022, 09:50
общий
Если все числа a,b,c,d 1, то и x,y,z,t тоже равны 1, сумма квадратов равна 8. Если все a,b,c,d равны 0, то x+y+z+t=8 . При этом сумма квадратов максимальна при наборе 1,1,1,5, т.е равна 28
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