milaynawatzek milaynawatzek
  • 13-06-2022
  • Mathematics
contestada

Solve:
x²-14x + 58=0

Respuesta :

loneguy
loneguy loneguy
  • 13-06-2022

Answer:

[tex]x = 7 + 3i\\\\x = 7 -3i[/tex]

Step-by-step explanation:

[tex]~~~~~~~x^2 -14x +58 =0\\\\\implies x^2 -14x = -58\\\\\implies x^2 -2 \cdot 7x + 7^2 = -58 +7^2\\\\\implies (x-7)^2 = -58 +49\\\\\implies (x-7)^2 = -9\\\\\implies x -7 = \pm\sqrt{-9}\\\\\implies x -7 = \pm3i\\\\\implies x = 7 \pm3i[/tex]

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