bonjour
f (x) = x² - 6 x + 5
α = - b / 2 a
α = 6 /2 = 3
β = 3² - 6 *3 + 5 = 9 - 18 + 5 = - 4
f (x) = ( x - 3 )² - 4
f (x) = x² + 8 x - 4
α = - 8/2 = - 4
β = ( - 4 )² + 8 (-4) - 4 = 16 - 32 - 4 = - 20
f (x) = ( x + 4 )² - 20
f (x ) = x² + 5 x - 2
α = - 5 / 2
β = ( - 5/2)² + 5 * - 5/2- 2 = 25/4 - 25/2 - 2 = 25/4 - 50/4 - 8/4 = - 33/4
f (x) = ( x + 5/2 ) - 33/4
f (x) = 4 x² - 64 x - 40
α = 64 /8 = 8
β = 4*8² - 64*8 - 40 = 256 - 544 - 40 = - 328
f (x) = 4 ( x - 8 )² - 328
f (x) = 3 x² - 3 x - 31
α = 3 /6 = 1/2
β = 3 ( 1/2 )² - 3 *1/2 - 31
= 3/1/4 - 3/2 -31 = 3/4 - 6/4 - 124/4 = - 127/4
f (x) = 3 ( x - 1/2 )² - 127/4
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