Réponse :
bonjour
( x - 7 )² = ( x + 3 )²
( x - 7 )² - ( x + 3 )² = 0
( x - 7 + x + 3 ) ( x - 7 - x - 3 ) = 0
( 2 x - 4 ) ( - 10 ) = 0
x = 4/2 = 2
( 3 x - 2 )² - ( 4 x - 8 )² = 0
( 3 x - 2 + 4 x - 8 ) ( 3 x - 2 - 4 x + 8 ) = 0
( 7 x - 10 ) ( - x + 6 ) = 0
x = 10/7 ou 6
( 2 x + 1 ) ( 7 x - 3 ) + ( 2 x + 1 ) ² = 0
( 2 x + 1 ) ( 7 x - 3 + 2 x + 1 ) = 0
( 2 x + 1 ) ( 9 x - 2 ) = 0
x = - 1/2 ou 2 /9
( 3 x + 7 )² - ( 3 x + 7 ) = 0
( 3 x + 7 ) ( 3 x + 7 - 1 ) = 0
( 3 x + 7 ) ( 3 x + 6 ) = 0
x = - 7/3 ou - 6/3 = - 2
Explications étape par étape :