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bonjour

1.   2 x + 3 =  5

    2 x = 5 - 3

    2 x = 2

     x = 1

2. 3 x - 2 = - 4 x + 1 /3

    9 x /3 - 6/3 = - 12 x /3 + 1 /3

    9 x + 12 x = 1 /3 + 6/3

    21 x /3  = 7/3

    21 x =  7

     x = 7/21 = 1/3

3.  9 x² = 6 x - 1

    9 x² - 6 x  = - 1

    9 x² - 6 x + 1 = 0

     ( 3 x  - 1 )² = 0

      ( 3 x - 1 ) ( 3 x - 1 ) = 0

x = 1/3

4.  2 x ³ - x = 3 x² - x

    2 x³  - 3 x² - x + x = 0

     x² ( 2 x - 3 ) = 0

 x = 0 ou 3/2

Verified answer

Réponse :

Explications étape par étape

Bonjour

2x + 3 = 5

2x + 3 - 3 = 5 - 3

2x = 2

2x/2 = 2/2

x = 1

3x - 2 = -4x + 1/3

3x + 4x - 2 + 2 = -4x + 1/3 + 4x + 2

7x = 1/3 + 6/3

7x = 7/3

7x/7 = 7/3 * 1/7

x = 1/3

9x^2 = 6x - 1

9x^2 - 6x + 1 = 0

(3x)^2 - 2 * 3x * 1 + 1^2 = 0

(3x - 1)^2 = 0

3x - 1 = 0

3x = 1

x = 1/3

2x^3 - x = 3x^2 - x

2x^3 - 3x^2 - x + x = 0

2x^3 - 3x^2 = 0

x^2(2x - 3) = 0

x^2 = 0 ou 2x - 3 = 0

x = 0 ou 2x = 3

x = 0 ou x = 3/2