Решите систему (x-y)*5=x+y [tex] x^{2} [/tex]-[tex] y^{2} [/tex]=180. Created by егор0009. algebra-ru

X² -y² =180(x-y)(x+y)=180Пусть x-y=a x+y=b{5a=b{ab=180a*5a=1805a²=180a²=36a₁=6 b₁=5*6=30a₂= -6 b₂=5*(-6)= -30При a=6 и b=30{x-y=6{x+y=30Складываем уравнения:2x=36x=1818+y=30y=12При a= -6 и b= -30{x-y= -6{x+y= -302x= -36x= -18-18+y= -30y= -12Ответ: (18; 12) (-18; -12)Новые вопросы в Алгебратолько 2.1 пожалйстаРешить уравнение:|1-2x|=3x-2Помогите, пожалуйста!поняття про подібність фігур ознаки подібності трикутниківПлоща повнОЇповерхні циліндрадорівнює 92п, а площайого бічної поверхні -56п.Визначте площуоснови цього циліндра.10Рухаючись 3 год за течією і 2 год проти течії катер проходить 102км, а рухаючись 1 годину проти течії і 30хв за течією - 29км. Знайдіть власну швидкіс…ть катер і швидкість течії річки.СРОЧНО!!!!!!!!!!!!!!Дам 10 БАЛОВрізниця виразів (-5y+1) i 3y+2 дорівнює -9?Докажите что, если x простое число и x>3, то x^2-1 делится на 24Пожалуйста помогите. Дам 10 баллов!Срочно, дам 10баллов!9.довести тотожність : 15с+(13с-6)-(6с-4)=22с-210. знайти значення виразу 0,3(5х-7)-0,4(5-7х)при x= дві сорок треті у першій вазі m тюльпанів у другій…втричі більше ніж у першій а в третій на n більше ніж у другій. Запишіть у вигляді виразу кількість тюльпанів у трьох вазах разом помогите пж ПредыдущийСледующийВместе мы знаем большеЭтот сайт использует cookies Политика Cookies . 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"},{"id":49780240,"content":"\u0414\u043e\u043a\u0430\u0436\u0438\u0442\u0435 \u0447\u0442\u043e, \u0435\u0441\u043b\u0438 x \u043f\u0440\u043e\u0441\u0442\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0438 x>3, \u0442\u043e x^2-1 \u0434\u0435\u043b\u0438\u0442\u0441\u044f \u043d\u0430 24\u200b"},{"id":49780134,"content":"\u041f\u043e\u0436\u0430\u043b\u0443\u0439\u0441\u0442\u0430 \u043f\u043e\u043c\u043e\u0433\u0438\u0442\u0435. \u0414\u0430\u043c 10 \u0431\u0430\u043b\u043b\u043e\u0432!"},{"id":49780133,"content":"\u0421\u0440\u043e\u0447\u043d\u043e, \u0434\u0430\u043c 10\u0431\u0430\u043b\u043b\u043e\u0432!"},{"id":49780078,"content":"9.\u0434\u043e\u0432\u0435\u0441\u0442\u0438 \u0442\u043e\u0442\u043e\u0436\u043d\u0456\u0441\u0442\u044c : 15\u0441+(13\u0441-6)-(6\u0441-4)=22\u0441-210. \u0437\u043d\u0430\u0439\u0442\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0432\u0438\u0440\u0430\u0437\u0443 0,3(5\u0445-7)-0,4(5-7\u0445)\u043f\u0440\u0438 x= \u0434\u0432\u0456 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tex]=180...

егор0009 @егор0009

July 2022 1 1 Report

Решите систему
(x-y)*5=x+y
[tex] x^{2} [/tex]-[tex] y^{2} [/tex]=180

Answers & Comments

m11m

Verified answer

X² -y² =180
(x-y)(x+y)=180

Пусть x-y=a
x+y=b
{5a=b
{ab=180

a*5a=180
5a²=180
a²=36
a₁=6 b₁=5*6=30
a₂= -6 b₂=5*(-6)= -30

При a=6 и b=30
{x-y=6
{x+y=30
Складываем уравнения:
2x=36
x=18
18+y=30
y=12

При a= -6 и b= -30
{x-y= -6
{x+y= -30
2x= -36
x= -18
-18+y= -30
y= -12
Ответ: (18; 12)
(-18; -12)