Question

Alguém Sabe Responder isso?

Answer 1

Vamos lá

a)

x² - 3√3x + 6 = 0

d = 27 - 24 = 3

x1 = (3√3 + √3)/2 = 2√3

x2 = (3√3 - √3)/2 = √3

b)

(3x - 1)²  + (x - 2)² = 25

9x² - 6x + 1 + x² - 4x + 4 = 25

10x² - 10x - 20 = 0

x² - x - 2 = 0

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

x1 = 2, x2 = -1

c)

2*(x + 3)² - 5*(x + 3) + 2 = 0

2x² + 12x + 18 - 5x - 15 + 2 = 0

2x² + 7x + 5 = 0

d = 49 - 40 = 9

x1 = (-7 + 3)/4 = -1

x2 = (-7 - 3)/4 = -5/2

d)

x + 1/x = 3

x² - 3x + 1 = 0

d = 9 - 4 = 5

x1 = (3 + √5)/2

x2 = (3 - √5)/2

e)

(x - 1)*(x + 3) = 5

x² + 2x - 3 = 5

x² + 2x - 8 =0

d = 4 + 32 = 36, d = 6

x1 = (-2 + 6)/2 = 2

x2 = (-2 - 6)/2 = -4