Question

Help-me kk por favor

Answer 1

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a) (-x² + 1)*(x² - 3x + 2) = 0

x² = 1, x = 1, x = -1

(x² - 3x + 2) = (x - 1)*(x - 2)

x = 1. x = 2

S = (1. 1, 2)

b) (x - 1)*(x - 2) = (x - 1)*(2x + 3)

(x - 1)*(x - 2 - 2x - 3) = 0

(x - 1)*(-x - 5) = 0

(x - 1)*(x + 5) = 0

x = 1, x = -5

S = (-5, 1)

c) (x + 5)² = (2x - 3)²

x² + 10x + 25 = 4x² - 12x + 9

3x² - 22x - 16 = 0

delta

d² = 22² + 12*16 = 676

d = 26

x1 = (22 + 26)/6 = 48/6 = 8

x2 = (22 - 26)/6 = -4/6 = -2/3

S = (-2/3, 8)

d) x³ + 10x² + 21x = 0

x*(x² + 10x + 21 = 0

x*(x + 3)*(x + 7) = 0

x = 0, x = -3, x = -7

S = (0, -3, -7)

e) x⁴ - 5x² + 4 = 0

delta

d² = 25 - 16 = 9, d = 3

x1 = √(5 + 3)/2 = √4 = 2

x2 = -√(5 + 3)/2 = -√4 = -2

x3 = √(5 - 3)/2 = √1= 1

x4= -√(5 - 3)/2 = -√1= -1

S = (-2, -1, 1, 2)