Question

Уравнение с модулем x^2-|5x-3|-x>2

Answer 1

x^2-|5x-3|-x>2
1. x<3/5  |5x-3|=3-5x
2/ x≥3/5   |5x-3|=5x-3
-----------------------------
1. x^2-3+5x-x-2>0
x^2+4x-5>0
D=16+20=36
x12=(-4-+6)/2=-5  1
(x+5)(x-1)>0
++++++++ -5 --------------  1 +++++++++
/////////////////////////////// 3/5 ===========

x<-5
2/ x^2+3-5x-x-2>0
x^2-6x+1>0
D=36-4=32
x12=(6+-2√8)/2= 3+-√8
++++++++ 3-√8 --------------- 3+√8 ++++++++
==============3/5 //////////////////////////////////
x>3+√8
x=(-∞ -5) u (3+√8   +∞)