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Jan974
@Jan974
January 2021
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Bonjour
Pouvez vous m'aider svp
Merci
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trudelmichel
Verified answer
Bonjour,
AM=x
BM=AB-AM
BM=4-x
2)
Triangle AMP
rectangle en M
Angle A=45°
(triangle ABC rectangle isocéle en B d'où A=C=45°)
d'où
triangle AMP rectangle isocéle en M
d'où
AM=MP
d'où
MP=x
si BMPQ est un carré
alors
MB=MQ
4-x=x
4=2x
x=4/2
x=2
AM=2
BMPQ est un carré
3) Aire BMPQ=BM * MP
MP=x (voir plus haut)
BM=4-x
Aire=x(4-x)
S(x)=x(4-x)
II
S(x)=x(4-x)
S(x)=-x²+4x
S(x)=2
-x²+4x=2
-x²+4x-2=0
Δ= 4²-4(-1)(-2)
Δ=16-4(2)
Δ=16-8
Δ=8
√Δ=√8
√Δ=√(4*2)
√Δ=2√2
x=(-4+2√2)/-2 x=2-√2
x=(-4-2√2)/-2 x= 2+√2
S(x)=4
-x²+4x=4
-x²+4x-4=0
Δ=4²-4(-1)(-4)
Δ=16-4(4)
Δ=16-16
Δ=0
x=(-4)/-2 x=2
S(x)=5
-x²+4x=5
-x²+4x-5=0
Δ=4²-4(-1)(-5)
Δ=16-20
Δ=-4
Δ<0
pas de solution
(1-x)(x-3)= x-x²-3+3x
-x²+4x-3=x(4-x)-3
(1-x)(x-3)=x(4-x)-3
S(x)=3
x(4-x)=3
(x(4-x)-3=0
(1-x)(x-3)=0 1-x=0 x=1
x-3=0 x=3
si S(x)=3 x=1 et x=3
1 votes
Thanks 1
Jan974
Mrc
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Verified answer
Bonjour,AM=x
BM=AB-AM
BM=4-x
2)
Triangle AMP
rectangle en M
Angle A=45°
(triangle ABC rectangle isocéle en B d'où A=C=45°)
d'où
triangle AMP rectangle isocéle en M
d'où
AM=MP
d'où
MP=x
si BMPQ est un carré
alors
MB=MQ
4-x=x
4=2x
x=4/2
x=2
AM=2
BMPQ est un carré
3) Aire BMPQ=BM * MP
MP=x (voir plus haut)
BM=4-x
Aire=x(4-x)
S(x)=x(4-x)
II
S(x)=x(4-x)
S(x)=-x²+4x
S(x)=2
-x²+4x=2
-x²+4x-2=0
Δ= 4²-4(-1)(-2)
Δ=16-4(2)
Δ=16-8
Δ=8
√Δ=√8
√Δ=√(4*2)
√Δ=2√2
x=(-4+2√2)/-2 x=2-√2
x=(-4-2√2)/-2 x= 2+√2
S(x)=4
-x²+4x=4
-x²+4x-4=0
Δ=4²-4(-1)(-4)
Δ=16-4(4)
Δ=16-16
Δ=0
x=(-4)/-2 x=2
S(x)=5
-x²+4x=5
-x²+4x-5=0
Δ=4²-4(-1)(-5)
Δ=16-20
Δ=-4
Δ<0
pas de solution
(1-x)(x-3)= x-x²-3+3x
-x²+4x-3=x(4-x)-3
(1-x)(x-3)=x(4-x)-3
S(x)=3
x(4-x)=3
(x(4-x)-3=0
(1-x)(x-3)=0 1-x=0 x=1
x-3=0 x=3
si S(x)=3 x=1 et x=3