Alguien que lo pueda resolver? porfa
Respuestas a la pregunta
Respuesta:
a)
x₁ = - 1 + 3i
3
x₂ = - 1 - 3i
3
b)
x₁ = - 12
x₂ = 4
c)
x₁ = 3
2
x₂ = - 4
d)
x₁ = - 8
x₂ = 2
Explicación paso a paso:
a)
9x² + 6x + 10 = 0
x₁ = - 6 + √[6² - 4(9)(10)]
2(9)
x₁ = - 6 + √[36 - 360]
18
x₁ = - 6 + √- 324
18
x₁ = - 6 + √324√-1
18
x₁ = - 6 + 18i
18
x₁ = 6(- 1 + 3i)
18
x₁ = - 1 + 3i
3
x₂ = - 1 - 3i
3
b)
x² + 8x = 48
x² + 8x - 48 = 0
x + 12
x - 4
(x + 12)(x - 4) = 0
x + 12 = 0
x₁ = - 12
x - 4 = 0
x₂ = 4
c)
(x + 3)(2x - 1) = 9
2x² - x + 6x - 3 = 9
2x² + 5x - 3 - 9 = 0
2x² + 5x - 12 = 0
2x - 3
x + 4
(2x - 3)(x + 4) = 0
2x - 3 = 0
2x = 3
x₁ = 3
2
x + 4 = 0
x₂ = - 4
d)
x² + 6x - 16 = 0
x + 8
x - 2
(x + 8)(x - 2) = 0
x + 8 = 0
x₁ = - 8
x - 2 = 0
x₂ = 2