bonjour
x² + 10 x + 25 = 0
( x + 5 )² = 0 ⇔ x = - 5
( x - 3 )² = 100
( x - 3 ) ² - 100 = 0
( x - 3 - 10 ) ( x - 3 + 10 ) = 0
( x - 13 ) ( x + 7 ) = 0 ⇔ x = 13 ou - 7
( 3 x + 1 )² = ( 5 x - 3 )²
( 3 x + 1 ) ² - (5 x - 3 )² = 0
( 3 x + 1 + 5 x - 3 ) ( 3 x + 1 - 5 x + 3 ) = 0
( 8 x - 2 ) ( - 2 x + 4 ) = 0 ⇔ x = 1/4 ou 2
x² + 2 x + 1 = 25
( x + 1 )² - 25 = 0
( x + 1 - 5 ) ( x + 1 + 5 ) = 0
( x - 4 ) ( x + 6 ) = 0 ⇔ x = 4 ou - 6
9 x² - 6 x + 1 = x² + 4 x + 4
( 3 x - 1 )² - ( x + 2 )² = 0
( 3 x - 1 + x + 2 ) ( 3 x - 1 - x - 2 ) = 0
( 4 x + 1 ) ( 2 x - 3 ) = 0 ⇔ x = - 1/4 ou 3 /2
