مثال ٦: بعد التربيع ظهر x=3/2 — لماذا يُستبعد؟

لا يحقق x+1= x الأصلية حل دخيل — تحقق بالتعويض.

لأن x=0 دائماً مرفوض

From the Tawjihi question bank — Mathematics · المتطابقات والمعادلات المثلثية

حل المعادلات المثلثية question — Mathematics Tawjihi, with answer

مثال ٦: بعد التربيع ظهر $x=3\pi/2$ — لماذا يُستبعد؟

حل المعادلات المثلثيةLevel: Medium

Choices

لأن

\cos x=0

دائماً مرفوض

لا يحقق

\cos x+1=\sin x

الأصلية

خارج الفترة

[0,2\pi)

\sin x

غير معرّف

The answer

لا يحقق

\cos x+1=\sin x

الأصلية

Explanation

حل دخيل — تحقق بالتعويض.

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حل المعادلات المثلثية question — Mathematics Tawjihi, with answer

مثال ٦: بعد التربيع ظهر x=3π/2x=3\pi/2x=3π/2 — لماذا يُستبعد؟

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مثال ٦: بعد التربيع ظهر $x=3\pi/2$ — لماذا يُستبعد؟