Find the conjugate and product of2-i5

Mathematics

1 answer:

WITCHER [35]2 years ago

3 0

Answer: $2+i5,\ 29$

Step-by-step explanation:

Given

Complex number is $2-i5$

Its conjugate is obtained by changing the sign of the original number i.e. $2+i5$

The product of the two numbers is

$\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29$

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