Sagot :
bonjour
f (x) = x² + 6 x + 1
α = - b / 2a
α = - 6 /2 = - 3
β = ( - 3 )² + 6 (-3) + 1 = 9 - 18 + 1 = - 8
f (x) = ( x + 3 )² - 8
x² - 4 x +9
α = 4 /2 = 2
β = 4 - 8 + 9 = 5
f (x) = ( x - 2 )² + 5
x² + 10 x - 50
α = - 10/2 = - 5
β = 25 - 50 - 50 = - 75
f (x) = ( x + 5 )² - 75
Réponse :
x² + 6x + 1 = (x+3)² - 9 + 1 = (x+3)² - 8
x² - 4x + 9 = (x-2)²-4 + 9 = (x-2)² + 5
x² + 10x - 50 = (x+5)² - 25 - 50 = (x+5)² - 75
bonne soirée
Explications étape par étape :