TcCh5S1Cr2A
2
Site : ammarimaths -bm.site.voila.fr / TCS / Chapitre 3 : Polynôes / Cou rs/mé thode : 1 Page 1 / 1 c bx ax ) x ( f 2 + + = ) 0 a ( ≠ [email protected] / GSM : 070819005 / Tel : 037600015 c bx ax ) x ( f 2 + + = . 2 2 2 u uv 2 u ) v u ( + + = + : ) v 2 u ( u ) v v u )( v v u ( v ) v u ( uv 2 u 2 2 2 + = + + − + = − + = + : + − + = + − + = + − + = + + = + + = 2 2 2 2 2 2 2 2 2 2 2 2 a 4 ac 4 a 4 b ) a 2 b x ( a a c a 4 b ) a 2 b x ( a c a 4 b ) a 2 b x ( a c x a b x a c bx ax ) x ( f ∆ − + = 2 2 a 4 ) a 2 b x ( a ) x ( f : où d' ; ac 4 b : pose on ; a 4 ac 4 b ) a 2 b x ( a ) x ( f 2 2 2 2 − = ∆ − − + = : 0 ≥ ∆ : a 2 b x et a 2 b x 2 1 ∆ − − = ∆ − − = ∆ + − − ∆ − − − ∆ − + ∆ + + = ∆ − + = ∆ − + = a 2 b x a 2 b x a a 2 a 2 b x a 2 a 2 b x a ) a 2 ( ) a 2 b x ( a a 4 ) a 2 b x ( a ) x ( f 2 2 2 2 ) x ( f : ( ) ( ) 2 1 x x x x a ) x ( f − − = x − 1 x 2 x + c bx ax 2 + + a 0 a 0 a : 0 = ∆ : a 2 b x 0 − = 2 2 2 a 2 b x a a 4 0 ) a 2 b x ( a ) x ( f + = − + = ) x ( f : ( ) 2 0 x x a ) x ( f − = x − 0 x + c bx ax 2 + + a 0 a : 0 p ∆ ∆ − + + = ∆ − + = 2 2 2 2 a 4 ) a 2 b x ( a a 4 ) a 2 b x ( a ) x ( f 0 p ∆ 0 f ∆ − 0 a 4 ) a 2 b x ( 2 2 f ∆ − + + ) x ( f ) x ( f a . ) x ( f : α + + = 2 ) a 2 b x ( a ) x ( f 0 f α . : : c bx ax ) 0 a ( 2 + + ≠ . ac 4 b 2 − = ∆ a 2 b x et a 2 b x 2 1 ∆ − − = ∆ − − = a 2 b x 0 − = ∆ 0 c bx ax 2 = + + c bx ax 2 + + c bx ax 2 + + 0 ≥ ∆ a 2 b x et a 2 b x 2 1 ∆ − − = ∆ − − = a a ( )( ) 2 1 x x x x a ) x ( f − − = 0 = ∆ a 2 b x 0 − = a x x 0 ≠ ( ) 2 0 x x a ) x ( f − = 0 p ∆ a α + + = 2 ) a 2 b x ( a ) x ( f 0 f α .
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Transcript of TcCh5S1Cr2A
7/17/2019 TcCh5S1Cr2A
http://slidepdf.com/reader/full/tcch5s1cr2a 1/1
Site : ammarimaths-bm.site.voila.fr / TCS / Chapitre 3 : Polynôes / Cours/méthode : 1Page 1 / 1
cbxax)x(f 2 ++=)0a( ≠
[email protected] / GSM : 070819005 / Tel : 037600015
cbxax)x(f 2 ++= .
222uuv2u)vu( ++=+:)v2u(u)vvu)(vvu(v)vu(uv2u
222 +=++−+=−+=+
:
+−+=
+−+=+
−+=+
+=++=
22
22
2
22
2
2222
a4
ac4
a4
b)
a2
bx(a
a
c
a4
b)
a2
bx(ac
a4
b)
a2
bx(acx
a
bxacbxax)x(f
∆−+=
2
2
a4)
a2
bx(a)x(f :oùd';ac4b:poseon;
a4
ac4b)
a2
bx(a)x(f
2
2
22 −=∆
−−+=
:0≥∆ :a2
bxet
a2
bx 21
∆−−=
∆−−=
∆+−−
∆−−−
∆−+
∆++=
∆−+=
∆−+=
a2
bx
a2
bxa
a2a2
bx
a2a2
bxa)
a2()
a2
bx(a
a4
)a2
bx(a)x(f
22
2
2
)x(f :( )( )21 xxxxa)x(f −−=
x − 1x 2x +
cbxax2 ++
a 0 a 0 a
:0=∆ :a2
bx0
−=
2
2
2
a2
bxa
a4
0)
a2
bx(a)x(f
+=
−+=
)x(f :( ) 20xxa)x(f −=
x − 0
x +
cbxax2 ++
a 0 a
:0p∆
∆−++=
∆−+=
2
2
2
2
a4)
a2
bx(a
a4)
a2
bx(a)x(f
0p∆ 0f ∆− 0a4
)a2
bx(
2
2 f
∆−++ )x(f )x(f
a.
)x(f :
α++= 2
)a2
bx(a)x(f 0f α.
:
:cbxax)0a( 2 ++≠. ac4b2 −=∆
a2
bxet
a2
bx 21
∆−−=
∆−−=
a2
bx0
−=
∆
0cbxax2 =++ cbxax2 ++ cbxax2 ++
0≥∆
a2
bxet
a2
bx 21
∆−−=
∆−−=
a
a
( )( )21 xxxxa)x(f −−=
0=∆a2
bx0
−= a
xx 0≠( ) 2
0xxa)x(f −=
0p∆ a
α++= 2
)a2
bx(a)x(f 0f α.
