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4 x² - 5 = x² + 13

4 x² - x² = 13 + 5

3 x² = 18

x² = 6

x = √6 ou - √6

5 x² - 2 = 7 x² - 6

5 x² - 7 x² = - 6 + 2

- 2 x² = - 4

x²   = 2

x  = √2 ou - √ 2

( x + 2 )² =  9

( x + 2 )² - 9 ) = 0

( x + 2 - 3 ) ( x + 2 + 3 ) = 0

( x - 1 ) ( x + 5 ) = 0

x = 1 ou - 5

( x - 2 )² = 11

(x - 2 )² - ( √11 )² = 0

( x - 2 - 11 ) ( x - 2 + 11 ) = 0

( x - 13 ) ( x + 9 ) = 0

x = 13 ou - 9

( 3 x + 5 )²  = 13

( 3 x + 5 )² - ( √13 )² = 0

( 3 x + 5 - 13 ) ( 3 x + 5 + 13 ) = 0

( 3 x - 8 ) ( 3 x + 18 )  = 0

x =  8/3 ou - 18/3 = -  6

( 2 x - 3 )² = 16

( 2 x - 3 )² - 16 = 0

( 2 x - 3 - 4 ) ( 2 x - 3 + 4 ) = 0

( 2 x - 7 ) ( 2 x + 1 ) = 0

x = 7/2 ou - 1 /2

( - 2 x + 1 )² =  8

( - 2 x + 1 )²  - ( √8 )² = 0

( - 2 x + 1 - 8 ) ( - 2 x + 1 + 8 ) = 0

( - 2 x - 7 ) ( - 2 x + 9 ) = 0

x = - 7/2 ou  9/2

( 4 x + 1 )² = - 2

pas de solution dans  R