Question

Algm resolveeeeee???pfvvv pra agoraa

Answer 1

Resposta:

a) 2x² + x = 0

R = 1 / 2

b) x-x² = 0

R - x1 = 1, x2 = 0

c) {-1,1}

Explicação passo-a-passo:

a) 2x² + x = 0

a = 2

b = 1

c = 0

Δ = b² - 4.a.c

Δ = 1² - 4 . 2 . 0

Δ = 1 - 0

Δ = 1

x = - b +- √Δ / 2 . a

x = - 1 +-√1 / 2 . 2

x' = - 1 + 1 / 4 = x' = 0

x'' = - 1 - 1 / 2 = x'' - 2 / 4 : 2 = x'' = 1 / 2

b) x - x² = 0

- x² + x = 0

x² - x = 0

a = 1 b = - 1 c = 0

/\ = b² - 4ac

/\ = 1 - 4(1)(0)

/\ = 1

x1 = - b + v/\ / 2a

x1 = 1 + 1 / 2

x1 = 2 / 2

x1 = 1

x2 = - b - v/\ / 2a

x2 = 1 - 1 / 2

x2 = 0

c)

1-x²= 0

-x²= -1 *(-1)

x²= 1

x²-1= 0

a= 1    b= 0  c = -1

Δ= b²-4.a.c

Δ= 0²-4.1.(-1)

Δ= 0+4

Δ= 4

x= (-b+-√Δ)/2.a

x= (-0+-√4)/2.1

x= 0+-2/2

x¹= -2/2 ⇒ x¹= -1

x²= 2/2 ⇒ x²= 1

R: S= {-1,1}