Решить систему уравнений: x+y=5 x-y^2=3. Created by rfgtht. algebra-ru

Ответ:{(7; -2), (4; 1)}Объяснение:Новые вопросы в АлгебраПісля 10відсоткового і 15 відсоткового зниження ціни курткакоштує 1530 гривень. Скільки коштувала куртка спочатку?3х-5у=18 -2х-3у=11 способом додавання х-у=4 2х+у=2 способом додавання Помогите пожалуйста с задачей по алгебре!!((Найдите наименьшее значение выражения|20х+22|+|22х+33|Арифметичну прогресію задано умовами, наведеними на малюнку. Знайдіть суму перших восьми її членів.a1=27, an+1=an-16можете помочь срочно 3. Рівні води у річцiносно номінального вимірювали протягом 32 весняних паводків і дані вимірювання записували в таблицю. УЧИРУ!!!!!! СРОЧНО!!!!!!!! ЗАДАНИЕ НА ФОТОЗадача на логіку! Дати розгорнуту відповідь! За спам бан!Для стимулювання праці працівникам фірми запропонували вибрати одну з форм заохочення: або к…ожен місяць збільшувати заробітну платню на 2%, або видати наприкінці року премію в розмірі 50 % від місячної заробітної платні. 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Решить систему уравнений: x+y=5 x-y^2=3...

rfgtht @rfgtht

June 2022 1 42 Report

Решить систему уравнений: x+y=5
x-y^2=3

Answers & Comments

axatar

Verified answer

Ответ:

{(7; -2), (4; 1)}

Объяснение:

$\displaystyle \tt \left \{ {{x+y=5} \atop {x-y^2=3}} \right. \Leftrightarrow \left \{ {{x=5-y} \atop {5-y-y^2=3}} \right. \Leftrightarrow \left \{ {{x=5-y} \atop {y^2+y-2=0}} \right. \Leftrightarrow \\\\\Leftrightarrow \left \{ {{x=5-y} \atop {D=1^2-4 \cdot 1 \cdot (-2)=9=3^2, y_1=\dfrac{-1-3}{2 \cdot 1} =-2, \;y_2=\dfrac{-1+3}{2 \cdot 1} =1}} \right. \Leftrightarrow \\\\\Leftrightarrow \left \{ {{x_1=5-(-2)=7, \; x_2=5-1=4} \atop {y_1=-2, \;y_2=1$