From the Tawjihi question bank — Mathematics · الأعداد المركبة

الأعداد المركبة question — Mathematics Tawjihi, with answer

أجد مقياس العدد $z=3-4i$ .

الأعداد المركبة

The answer

|z|=\sqrt{3^2+(-4)^2}=\sqrt{25}=5

Worked steps

حوّل الجذور السالبة إلى مضاعفات في i قبل الضرب.
استعمل دورة قوى i أو مساواة الجزأين الحقيقي والتخيلي بحسب نوع السؤال.
في التمثيل البياني، اقرأ العدد a+ib كنقطة (a,b).
احسب المقياس من |z|=sqrt(a^2+b^2).
حدد الربع قبل حساب السعة الرئيسة، واجعلها في الفترة (-π,π].

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الأعداد المركبة question — Mathematics Tawjihi, with answer

أجد مقياس العدد $z=3-4i$ .

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الأعداد المركبة question — Mathematics Tawjihi, with answer

أجد مقياس العدد z=3−4iz=3-4iz=3−4i.

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Join 5,000+ students already studying Tawjihi with confidence One platform—syllabus, practice, and Zaki is with you.

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أجد مقياس العدد $z=3-4i$ .