Conjugate equation

Find the numbers of a and b, if (a - bi) (3 + 5i) is the Conjugate of (-6 - 24i)

Correct answer:

a =  3
b =  -3

Step-by-step explanation:

(abi)(3+5i)=conj(624i) (abi)(3+5i)=6+24i 3a+5ai3bi+5b=6+24i (3a+5b)+i(5a3b)=6+24i  3a+5b=6 5a3b=24  3 a+5 b=6 5 a3 b=24  3a+5b=6 5a3b=24  a=3 b=3

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