Question
समीकरण हल कीजिए, जिसके सभी मूल ग.पी. में हैं
Answer :
Word Count : 406
दिए गए समीकरण को हल करने के लिए, यह ध्यान रखना आवश्यक है कि इसके सभी मूल (roots) एक गुणोत्तर श्रेणी (G.P.) में हैं। समीकरण दिया गया है: \[ x^4 + 15x^3 + 70x^2 + 120x + 64 = 0 \] ### चरण 1: गुणोत्तर श्रेणी के मूलों को मानना यदि सभी मूल किसी गुणोत्तर श्रेणी में हैं, तो हम मान सकते हैं कि मूल \( a, ar, ar^2, ar^3 \) के रूप में होंगे, जहाँ \( a \) प्रथम पद ______ _____ ________ _____ ______.
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दिए गए समीकरण को हल करने के लिए, यह ध्यान रखना आवश्यक है कि इसके सभी मूल (roots) एक गुणोत्तर श्रेणी (G.P.) में हैं। समीकरण दिया गया है: \[ x^4 + 15x^3 + 70x^2 + 120x + 64 = 0 \] ### चरण 1: गुणोत्तर श्रेणी के मूलों को मानना यदि सभी मूल किसी गुणोत्तर श्रेणी में हैं, तो हम मान सकते हैं कि मूल \( a, ar, ar^2, ar^3 \) के रूप में होंगे, जहाँ \( a \) प्रथम पद ______ _____ ________ _____ ______.
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