Question

resolver
${2}^{ {x}^{2} + x } = 1.024$
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Answer 1

Respuesta:

x₁ = [- 1 + √41] / 2

x₂ = [- 1 - √41] / 2

Explicación paso a paso:

2ˣ²⁺ˣ = 1024

1024 | 2

 512 | 2

256 | 2

 128 | 2

  64 | 2

  32 | 2

   16 | 2

    8 | 2

    4 | 2

    2 | 2

     1 |

       |

1024 = 2¹⁰

2ˣ²⁺ˣ = 2¹⁰

x² + x = 10

x² + x - 10 = 0

Utilizar:

ax² + bx + c = 0

x₁ = [- b + √(b² - 4ac)] / 2a

x₂ = [- b - √(b² - 4ac)] / 2a

x² + x - 10 = 0

x₁ = [- 1 + √(1² - 4(1)(- 10))] / 2(1)

x₁ = [- 1 + √(1 + 40)] / 2

x₁ = [- 1 + √41] / 2

x₂ = [- 1 - √(1² - 4(1)(- 10))] / 2(1)

x₂ = [- 1 - √(1 + 40)] / 2

x₂ = [- 1 - √41] / 2