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Find the product of \((2 + 9i)\) and its conjugate. 

          Find the product of \((2 + 9i)\) and its conjugate.
Find the product of (2 + 9i) and its conjugate.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find the product of (2+9i) and its conjugate. Find the product of2+9i and its conjugate.
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Transcript

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00:01 Okay, if i have z equals x plus iy, then z star, the conjugate is always x minus iy.
00:12 So here then what i have is 1 minus 10 i times 1 plus 10 i.
00:19 The conjugate is 1 plus 10 i.
00:23 This i expand out, foil as normal.
00:27 I get 1 plus 10 i minus 10 i minus 10 i.
00:32 Minus 10 i squared...
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