Fiche de Travaux Dirigés 1 Opérations sur les nombres Réels

(2x+ 1)3; (1 −2x)3; (2x+ 3)4; (1 −x)5
R
16x4−9y2; 27 −x3;x6−1
x
x1/2x1/3x2/3x3/2x−1/2x−2/3x−3/21
x−1/2
√x3 √x3
√x2√x31
3
√x2
√x
√x3
√x
3
√x
3
√x
4
√x
3
√x2√x3
4
√x33 √x4q3
√x3
q√x
x
x≤2⇐⇒ x2≤4
(x > 0) x≤2⇐⇒ x2≤4
x≤ −2⇐⇒ x2≤4
|x−3|<2|x−4|<5|x+ 1|>2
d(x; 1) ≤4d(x;−2) >4 3 < x < 9−1≤x≤5
5,314 0,99 −0,99 9,01 −9,01 −√2

10−nd.10−n
(d+ 1).10−nd
41,315(n= 2) ; 41,315(n= 1) ; −9,3814(n= 2) ; −9,3814(n= 3)
7,1485 714,85 0,0071485 −71,485
9,368E+ 3 1,092E−2−8,416E+ 4 −3,546E−1
P
P
x1+x2+... +x7
x3+x4+... +x80
x7+x14 +... +x280
x6+x13 +... +x279
x0−x4+x8−x12 +x16 −x20 +x24
x1+ 2x3+ 3x5+ 4x7+ 5x9+ 6x11
(2x0+ 5) + (2x2+ 5) + ... + (2x20 + 5)
e2x+ 3ex−4 = 0
e3x−ex= 0
ex+e−x= 1
4e2x<3ex+ 1
ln(3 −5x) = 0
ln(x+ 4) + ln(x−1) = ln 6
ln 2x−3
5x+1 <0
ln x−1
ln x<3/2
log x= ln x