Exclude Exclude
  • 25-07-2020
  • Mathematics
contestada

If (a-bi)^2 = 13 - 12i, what is the product of a and b?

Respuesta :

Alfpfeu
Alfpfeu Alfpfeu
  • 25-07-2020

Answer:

[tex]\large \boxed{\sf \ \ \ a\cdot b= 6 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex](a-bi)^2 = 13 - 12i\\\\<=> a^2+(bi)^2-2abi = 13-12i\\\\<=>a^2-b^2-2abi=13-12i[/tex]

Imaginary term must be the same so

-2ab=-12

2ab = 12

ab = 12/2 = 6

So the product of a and b is 6

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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