Un dernier exercice, où il faut résoudre des "équations" simples ;
1) 2x+3=6x-5
2) (2x+5)(4x-11)=0
3) 3x+8=-5x
1) 2x+3=6x-5
2) (2x+5)(4x-11)=0
3) 3x+8=-5x
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Verified answer
Bonsoir1) 2 x + 3 = 6 x - 5
2 x - 6 x = - 5 - 3
- 4 x = - 8
x = 2
2) ( 2x + 5) ( 4 x - 11) = 0
soit 2 x + 5 = 0 donc 2 x = - 5 et x = - 5/2
soit 4 x - 11 = 0 donc 4 x = 11 et x = 11/4
3) 3 x + 8 = - 5 x
3 x + 5 x = - 8
8 x = - 8
x = - 1
Verified answer
1) 5+3=6x-2x8=4x
x=8/4
x=2
2) 8x^2-22x+20x-55=0
8x^2-2x-55=0
Delta=(-2)^2-4*8*(-55)
Delta=4+1760=1764 >0 donc 2 solutions
x1=(2-V1764)/(2*8)
x1=(2-42)/16=(-40/16)=(-8*5)/(8*2)
x1=(-5/2)
x2=(2+V1764)/16
x2=(2+42)/16
x2=44/16
x2=(11*4)/(4*4)
x2=(11/4)
3) 3x+5x=(-8)
8x=(-8)
x=(-8/8)
x=(-1)