Question

Resolva as equações:

Answer 1

[ (3 -x) * (x -4) * (x -5) +(-1  * -2 * 3) +(2 * -1 * -3) ]

[ (7x -x² -12) * (x -5) +6 +6 ]

[7x² -x³ -12x -35x +5x² +60 +12]

-x³ +12x² -47x +72

-[ -3(x -4) +6(3 -x) -2(x -5)]

-[-3x +12 +18 -6x -2x +10]

-[ -11x +40 ]

11x -40

-x³ +12x² -47x +72 +11x -40 = 0

-x³ +12x² -36x +32 = 0 * (-1)

x³ -12x² +36x -32 = 0

a = 1  ; b = -12 , c = 36 , d = -32

32 , 36 | 2

16 , 18 | 2

8 , 9

x³ +(-8x²-4x²) +(32x + 4x) + 32 = 0

x²(x -8) -4x(x -8) +4(x -8) = 0

(x -8) * (x² -4x +4) = 0

(x -8) = 0

x' = 8

(x² -4x +4) = 0

x' + x'' = 4

x' * x'' = 4

Divisores |N de 4 → {1 , 2 , 4}

2 + 2 = 4

2 * 2 = 4

x'' = x''' = 2

{8 , 2}