Wyznacz wartosc z jezeli przedstawione w nastepujacej kolejnosci liczby x, 2x-3, 3x tworza ciag geometryczny niemonotoniczny.
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
x, 2x - 3, 3x - ciąg geometryczny niemonotoniczny
zatem
(2x -3)^2 = x*3x
4x^2 - 12 x + 9 = 3 x^2
x^2 -12 x + 9 = 0
================
delta = (-12)^2 - 4*1*9 =144 - 36 = 108 = 36*3
p(delty) = 6 p(3)
==================
x = [ 12 - 6 p(3)]/ 2 = 6 - 3 p(3) > 0
lub
x = [ 12 + 6 p(3)]/2 = 6 + 3 p(3) > 0
1)
2x - 3 = 2*( 6 - 3 p(3)] - 3 = 12 - 6 p(3) - 3 = 9 - 6 p(3) < 0
Odp. x = 6 - 3 p(3)
====================