Решите неравенства Б и В. Created by GURU921. algebra-ru

Бx(x²-4x+3)>0x(x-1)(x-3)>0x=0 x=1 x=3 _ + _ +------------------(0)-----------(1)----------------(3)---------------------x∈(0;1) U (3;∞)x^4-1<0(x-1)(x+1)(t²+1)<0x=1 x=-1 + _ +-----------------(-1)-----------------(1)-----------------x∈(-1;1)

Решите неравенства Б и В...

GURU921 @GURU921

August 2022 1 13 Report

Решите неравенства Б и В

Answers & Comments

sedinalana Б
$\int\limits^x_0 {x(3t^2-8t+3) \, dt =t^3-4t^2+3t|^x_{0}=x^3-4x^2+3x\ \textgreater \ 0$
x(x²-4x+3)>0
x(x-1)(x-3)>0
x=0 x=1 x=3
_ + _ +
------------------(0)-----------(1)----------------(3)---------------------
x∈(0;1) U (3;∞)

$\int\limits^x_0 {t^3} \, dt =t^4/4|^x_{0}=x^4/4\ \textless \ 1/4$
x^4-1<0
(x-1)(x+1)(t²+1)<0
x=1 x=-1
+ _ +
-----------------(-1)-----------------(1)-----------------
x∈(-1;1)

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