Question

Solve the equation: 

equation

given that its roots are in G.P.

15 Feb 2025
Answer :
Word Count : 279
हमें समीकरण को हल करना है: \[ x^4 + 15x^3 + 70x^2 + 120x + 64 = 0 \] ### Step 1: Roots in Geometric Progression (G.P.) मान लीजिए कि इस समीकरण के चारों मूल \( a, ar, ar^2, ar^3 \) के रूप में एक ज्यामितीय अनुक्रम (G.P.) में हैं। ### Step 2: समेकित गुण जोड़ना #### (i) समेकित गुणनफल (Product of roots) (Vieta's Theorem से) चतुर्थ घात समीकरण ____ _______ ______ __________ ___.
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