Question

dau 100 de puncte si coroana !!! Va rog exercitiile 32,34,35 !!!!

Answer 1

32.
a) 14-|-x+4|=-8 (asa cred ca e,-8)
|-x+4|=14+8=22
(-x+4)=+/- 22
-x+4=-22
-x=-26|-1
x=26 
si
-x+4=22
-x=18
x=-18

b) |x-1|+√x²+2=0
daca x∠1⇒
-(x-1)+√x²+2=0
-x+√x²+3=0
(√x²)²=(x-3)²
x²=x²-6x+9
6x-9=0
x=9/6=3/2 
si x>1
x-1+√x²+2=0
√x²=(-x-1)²
x²=x²+2x+1
2x+1=0
x=-1/2

34.
se iau 2 cate doua.apoi se aduc la acelasi numitor
3(x-1)≤4x+1
3x-3≤4x+1
x≥-4 deci x∈[-4,∞)
si 4x+1≤3(x+2)
4x+1≤3x+6
x≤5 deci x∈[5,∞)
se intersecteaza soutiile si obtinem
A=[5,∞)
b)
CE x-3≠0 ,x≠3
2x-3≤x-3
x≤0 
B={-∞,0}
c) CE ,x-2≠0,x≠2
2x-9≥3x-6 
x≤-3 
C={-∞,-3}
35.
a) (x-1)²+x<(x-1)(x+1)-x
x²-2x+1+x<x²-1-x
x²-x+1<x²-x-1(este ceva in neregula ,fiindca ar trebui sa fie 1<-1)
b) (x-4)²+3(x²+5x)≤(2x+3)²-5(x-4)+7
x²-8x+16+3x²+15x≤4x²+12x+9-5x+20+7
4x²+7x+16≤4x²+7x+36
16<36