The towel on the wall… It’s our ancient custom. There was not a single Ukrainian house , which would not be decorates with towels. A house without a towel was compared with a family without children. A towel symbolized not only aesthetic taste , it was a face of a house and of a hostess. The towels proved that the hostess was tidy and hard-working.
A newly-born child was handed with the towel, guests were met with bread and salt on the towel. A son , a husband, a father were seen off with the towel. While getting married the newly-formed family was standing on a towel too. Bread and salt on an embroidered towel were a symbol of hospitality of the Ukrainian people. To take the towel , to kiss bread symbolized unity, peace, love , understanding among people. This custom has a good tradition in our country.
Towel were used in different ceremonies and in everyday life as well: for wiping a face and hands, for drying dishes, for decorating the houses, for presenting dear people. The ornaments and colours of towels were different in different regions. A lot of songs about the embroidered towel have been created in Ukraine. Объяснение:
(3p-5)^2-4(3p^2-11p-6)>=0. При таких "p" у исходного уравнения найдутся(возможно, совпадающие) корни x1 и x2. Запишем для них теорему Виета:
x1+x2=-b/a=5-3p
x1*x2=c/a=3p^2-11p-6
Теперь,не вычисляя корней, можно найти сумму их квадратов через "p": x1^2 + x2^2.
Выделим полный квадрат:
(x1+x2)^2-2x1*x2= (5-3p)^2-2(3p^2-11p-6).
По условию, эта сумма квадратов равна 65.
Получаем:
(5-3p)^2-2(3p^2-11p-6)=65
Решим его:
25-30p+9p^2-6p^2+22p+12-65=0
3p^2-8p-28=0
D=(-8)^2-4*3*(-28)=400
p1=(8-20)/6=-2
p2=(8+20)/6=14/3
Проверим, подставив эти значения "p" в исходное уравнения, чтобы убедиться, что дискриминант неотрицателен.
Проверять здесь не буду из-за экономии времени. Все найденные "p" подходят.
Теперь найдем корни уравнения:
1)p=-2
x^2-11x+28=0
x1=4; x2=7
2)p=14/3
x^2+9x+8=0
x1=-8; x2=-1
ответ: при p=-2 x1=4, x2=7; при p=14/3 x1=-8, x2=-1.