bonjour,
16x²/3 - 16x/3 = 47
16x²-16x-141 = 0
2 solutions forme canonique ou discriminant
forme canonique = 16(x-1/2)²-145
[4(x-1/2)-√145][4(x-1/2)+√145] = 0
(4x-4/2-√145)(4x-4/2+√145) = 0
(4x-2-√145)(4x-2+√145) = 0
x = (2+√145)/4 = 1/2+(√145/4)
= (2-√145)/4 = 1/2-(√145/4)