Suppose a and b are real numbers. If (a-i)(2+bi)=(ab)/4+126 find the values of a and b.

Paula Cameron

Paula Cameron

Answered question

2022-11-04

Suppose a and b are real numbers. If
( a i ) ( 2 + b i ) = a b 4 + 126 i
find the values a and b.

Answer & Explanation

trivialaxxf

trivialaxxf

Beginner2022-11-05Added 21 answers

Answer:
( a i ) ( 2 + b i ) = a b 4 + 126 i 2 a + a b i 2 i + b = a b 4 + 126 i 2 a + b + ( a b 2 ) i = a b 4 + 126 i 2 a = a b 4 a b 2 = 126 b = 8 a = 16

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