Question

Resolva as equações através da fórmula de baskara.Por favor X2 + X - 6 = 0 –X2 – X +12 =0 X2 + 3X – 10 = 0

Answer 1

Resposta:

Explicação passo-a-passo:

a) X² + X - 6 = 0

Δ = b² – 4ac

Δ = (1)² – 4(1)(-6)

Δ = 1 + 24

Δ = 25

x = (- b ± √Δ)/2a

x = (- 1 ± √25)/2(1)

x = ( - 1 ± 5)/2

x₁ = ( - 1 + 5)/2

x₁ = 4/2

x₁ = 2.

x₂ = ( - 1 - 5)/2

x₂ = - 6/2

x₂ = - 3.

b) – X² – X + 12 = 0

Δ = b² – 4ac

Δ = (-1)² – 4(-1)(12)

Δ = 1 + 48

Δ = 49

x = (-b ± √Δ)/2a

x = (- (-1) ± √49)/2(-1)

x = ( 1 ± 7)/(-2)

x₁ = ( 1 + 7)/(-2)

x₁ = 8/(-2)

x₁ = - 4.

x₂ = ( 1 - 7)/(-2)

x₂ = - 6/(-2)

x₂ =  3.

c) X² + 3X – 10 = 0

Δ = b² – 4ac

Δ = (3)² – 4(1)(-10)

Δ = 9 + 40

Δ = 49

x = (-b ± √Δ)/2a

x = (- 3 ± √49)/2(1)

x = ( - 3 ± 7)/2

x₁ = ( - 3 + 7)/2

x₁ = 4/2

x₁ = 2.

x₂ = ( - 3 - 7)/2

x₂ = - 10/2

x₂ = - 5.