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Calculate 25(4+3i) +25(4-3i)SolutionWell factorize by 25 .pdf

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Calculate 25/(4+3i) +25/(4-3i)? Solution We\'ll factorize by 25 and we\'ll get: 25[1/(4+3i) + 1/(4-3i)] We\'ll multiply by (4+3i)(4-3i) = 4^2 - (3i)^2: 25[1/(4+3i) + 1/(4-3i)] = 25[(4-3i+4+3i)/(4+3i)*(4-3i)] We\'ll eliminate and combine like terms: 25[(4-3i+4+3i)/(4+3i)*(4-3i)] = 25*8/[4^2 - (3i)^2] But i^2 = -1: 25*8/[4^2 - (3i)^2] = 200/(16+9) 25/(4+3i) +25/(4-3i) = 200/25 25/(4+3i) +25/(4-3i) = 8 The result of addition of the complex numbers is the real number 8..

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Calculate 25/(4+3i) +25/(4-3i)? Solution We'll factorize by 25 and we'll get: 25[1/(4+3i) + 1/(4-3i)] We'll multiply by (4+3i)(4-3i) = 4^2 - (3i)^2: 25[1/(4+3i) + 1/(4-3i)] = 25[(4-3i+4+3i)/(4+3i)*(4-3i)] We'll eliminate and combine like terms: 25[(4-3i+4+3i)/(4+3i)*(4-3i)] = 25*8/[4^2 - (3i)^2] But i^2 = -1: 25*8/[4^2 - (3i)^2] = 200/(16+9) 25/(4+3i) +25/(4-3i) = 200/25 25/(4+3i) +25/(4-3i) = 8 The result of addition of the complex numbers is the real number 8.

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Calculate 25(4+3i) +25(4-3i)SolutionWell factorize by 25 .pdf

  • 1. Calculate 25/(4+3i) +25/(4-3i)? Solution We'll factorize by 25 and we'll get: 25[1/(4+3i) + 1/(4-3i)] We'll multiply by (4+3i)(4-3i) = 4^2 - (3i)^2: 25[1/(4+3i) + 1/(4-3i)] = 25[(4-3i+4+3i)/(4+3i)*(4-3i)] We'll eliminate and combine like terms: 25[(4-3i+4+3i)/(4+3i)*(4-3i)] = 25*8/[4^2 - (3i)^2] But i^2 = -1: 25*8/[4^2 - (3i)^2] = 200/(16+9) 25/(4+3i) +25/(4-3i) = 200/25 25/(4+3i) +25/(4-3i) = 8 The result of addition of the complex numbers is the real number 8.