Question
Solve the equation:
given that its roots are in G.P.
Answer :
Word Count : 336
Let the roots of the equation be in G.P. Denote the roots by $a, ar, ar^2, ar^3$. The given equation is: $$ x^4 + 15x^3 + 70x^2 + 120x + 64 = 0 $$ By Vieta's formulas, for a quartic equation $x^4 + bx^3 + cx^2 + dx + e = 0$ with roots $p, q, _____ _______ ________ ___ _________ ____ ___ ____ ________ ____.
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Let the roots of the equation be in G.P. Denote the roots by $a, ar, ar^2, ar^3$. The given equation is: $$ x^4 + 15x^3 + 70x^2 + 120x + 64 = 0 $$ By Vieta's formulas, for a quartic equation $x^4 + bx^3 + cx^2 + dx + e = 0$ with roots $p, q, _____ _______ ________ ___ _________ ____ ___ ____ ________ ____.
____ _______ _______ __________ _______ _______ _________ _______.
__________ __________ ________ _____ _____ ___ _______ _________ ____ ___.
__________ ___ _________ __________ ________ __________ _____.
__________ ______ _________ ________ _______ _________ ______ ______.
______ ________ ________ ______ _____ ________.
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_______ ________ ____.
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Related Questions
R पर और ज
और
द्वारा परिभाषित दो फलन f और g लीजिए।
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ii) f(x) = 0 के सभी मूल ज्ञात कीजिए।
यदि एक आय फलन द्वारा दिया गया है, जहाँ x निवेश है, तो
Evaluate:
For any two sets S and T, show that:
S∪T = (S − T ) ∪ ( S ∩ T) ∪ (T − S).
Depict this situation in the Venn diagram.
Evaluate:
10. a) If , Show that:
Hence find the value of .
Find the largest subset of R on which the function :f R → R defined as:
is continuous.
Find the least value of a² sec² x + b² cosec²x, where a > 0,b>0.
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