Question

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

Answer 1

Answer:

$\large \boxed{\sf \ \ \ a\cdot b= 6 \ \ \ }$

Step-by-step explanation:

Hello,

$(a-bi)^2 = 13 - 12i\\\\ a^2+(bi)^2-2abi = 13-12i\\\\a^2-b^2-2abi=13-12i$

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.

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Thank you