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معادلات الرياضيات - مستوى متوسط

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معادلات الرياضيات - مستوى متوسط

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تمارين عن المعادلات

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waleedAhmed
waleedAhmed
Egypt

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معادلات الرياضيات - مستوى متوسط
 

معادلات الرياضيات - مستوى متوسطOnline version

تمارين عن المعادلات

by waleedAhmed
1

حل المعادلة الخطية: 3x + 5 = 20 ما قيمة x؟

2

أوجد قيمة x من: 2(x - 4) = 3x + 6

3

اذا كان 5x = 40 فكم x؟

4

حل المعادلة: x^2 - 9 = 0

5

حل النظام: x + y = 7 و x - y = 1 ما قيمة y؟

6

حل المعادلة باستبدال: 3x + 2 = 2x + 9، فكم x؟

7

حل المعادلة: (x - 5)^2 = 0

8

عند حل المعادلة 7x - 3 = 2x + 12، قيمة x؟

9

إذا كان 4/(x-1) = 2، ما قيمة x؟

10

حل المعادلة: x/4 = 3 + x/2 ما قيمة x؟

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اتحاد الطرف الثابت مع الطرف الآخر يعطي 15، ثم نقسم على 3 لنجد xса.

افتح الأقواس: 2x - 8 = 3x + 6، اطرح 2x من الطرفين، وتخلص من -8 بنقل 6 إلى الطرف الآخر.

قسمة كلا الطرفين على 5 يعطينا x = 40/5 = 8.

فرق أيجاد العوامل: (x-3)(x+3)=0.

نضيف المعادلتين لنجد 2x = 8 فـ x = 4، ثم نطرح للحصول على y = 3.

نبدل الطرف الذي يحتوي على x ونجمع الحدود المشابهة.

الجذر التربيعي يساوي 0 مما يعني x-5=0.

نقل 2x إلى الجانب الآخر ونجمع الأعداد الثابتة، فنحصل على 5x = 15 ثم x = 3.

نعكس الطرفين ونحل: 4 = 2(x-1) ⇒ 4 = 2x - 2 ⇒ 6 = 2x ⇒ x = 3.

اجمع الطرفين بتهيئة المقامات: x/4 = 3 + x/2 ⇒ x/4 = 3 + 2x/4 ⇒ x = 12 + 2x ⇒ -x = 12 ⇒ x = -12

 
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