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
