daisykaitlyn05 daisykaitlyn05
  • 23-05-2020
  • Mathematics
contestada

Write a quadratic equation whose roots are 1+8i and 1-8i

Respuesta :

osikbro
osikbro osikbro
  • 23-05-2020

Answer:

[tex]x^2-2x+65=0[/tex]

Step-by-step explanation:

If the roots of this equation are 1+8i and 1-8i, then:

[tex]x-(1+8i)=0\\x-(1-8i)=0[/tex]

And hence:

[tex]x-1-8i=0\\x-1+8i=0\\(x-1-8i)(x-1+8i)=0\\x^2-x+8ix-x+1-8i-8ix+8i+64=0\\x^2-2x+65=0[/tex]

Hope this helps!

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