b1+b4=35 b2+b3=30 q=?. Created by ABCMINE100. matematika-ru

b1+b4=35 b2+b3=30 q=?...

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July 2022 1 12 Report

b1+b4=35 b2+b3=30 q=?

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afet74

Ответ:

q=1,5

Пошаговое объяснение:

$b_{1} +b_{1} q^{3} =35;\;\; b_{1} (1+q^{3})=35;\;\\\b_{1} q+b_{1} q^{2} =30;\;\ b_{1} q(1+q)=30;\;\;$

$\frac{1-q+q^{2} }{q} =\frac{35}{30} ;\\\\30q^{2}-65q+30=0\\\\6q^{2}-13q+6=0\\\\q_{1,2} =\frac{13\frac{+}{}\sqrt{169-144} }{12} =\frac{13\frac{+}{}5 } {12} \\\\q_{1} =\frac{18}{12} =\frac{3}{2} =1,5\\\\q_{2} =\frac{8}{12} =\frac{2}{3}$

$q=1,5;\;\;\;\;\ b_{1} =8\;\ b_{2} =12;\;\;\ b_{3} =18;\;\;\ b_{4} =27$

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