حل معادلة من الدرجة الأولى وأخرى من الدرجة الثانية جبرياً

ياسر ابوستيت

أوجد مجموعة حل المعادلتين الأتيتين في ح × ح

1- س + ص = 2 ، س² - ص² = 3

الحل

من معادلة الدرجة الأولى

بالتعويض في معادلة الدرجة الثانية

بالتعويض في المعادلة 3

2- س - ص = 1 ، س² + ص² = 25

الحل

من الأولى

في الثانية

ص – 3 = 0

ص = 3 في 3

ص + 4 = 0

ص = -4 في 3

2- س + ص = 3 ، س² + 3ص = 19

الحل

من الأولى

في الثانية

ص – 3 = 0

ص = 3 في 3

ص + 4 = 0

ص = -4 في 3

5- ص - س = 3 ، 2س² – س ص = 10

الحل

من الأولى

في الثانية

س = -2 في 3

س = 5 في 3

ص = 3 + 5

ص = 8

6- س + ص = 2 ، س ص – 2 = 0

الحل

من الأولى

بالتعويض في الثانية

مع الترتيب

س = 1 في 3

ص = 2

س = 2 في 3

ص = 1

7- س + ص = 1 ،

س² + س ص + ص² = 25

الحل

من الأولى

بالتعويض في الثانية

س = -1

في 3

س = 2

في 3

7- ص – س = 0 ،

س² + ص² - س ص = 4

الحل

من الأولى

في الثانية

س = 2 في 3

س = -2 في 3

ص = -2

جبر3 رياضيات ثالثة اعدادى رياضيات3ع3ت

ياسر ابوستيت

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'contactFormMessageMsg': '\u0631\u0633\u0627\u0644\u0629', 'contactFormSendMsg': '\u0625\u0631\u0633\u0627\u0644', 'contactFormToken': 'AOuZoY76xKF4K4tLYqj8YwbYNG5n0PpOow:1734600681523', 'submitUrl': 'https://www.blogger.com/contact-form.do'}, 'displayModeFull'));