Réponse :
bonsoir
f (x) = ( x - 5 )² - 1
1. f (x) = x² - 10 x + 25 - 1 = x² - 10 x + 24
2. f (x) = ( x - 5 - 1 ) ( x - 5 + 1 ) = ( x - 6 ) ( x - 4 )
3. f ( 0 ) = - 6 * - 4 = 24
f ( 4 ) = - 2 * 0 = 0
f ( 5 ) = - 1 * 1 = - 1
4 . ( x - 5 )² - 1 = - 1
( x - 5 )² = 0
x = 5
x² - 10 x + 24 = 24
x² - 10 x = 0
x ( x - 10 ) = 0
x = 0 ou 10
( x - 6 ) ( x - 4 ) = 0
x = 6 ou 4
Explications étape par étape :
