marcusshannon marcusshannon
  • 16-02-2022
  • Mathematics
contestada

what is (14-3i)(14+3i)

Respuesta :

jimthompson5910 jimthompson5910
  • 16-02-2022

Answer:   205

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Work Shown:

[tex](14-3i)(14+3i)\\\\x(14+3i) \ ... \text{ let } x = 14-3i\\\\14(x)+3i(x)\\\\14(14-3i)+3i(14-3i) \ ... \text{ plug in } x = 14-3i\\\\196-42i+42i-9i^2\\\\196-9i^2\\\\196-9(-1)\\\\196+9\\\\205[/tex]

Recall that [tex]i = \sqrt{-1}[/tex] is the imaginary unit. Squaring both sides gets us [tex]i^2 = -1[/tex]

You can verify the answer using a tool like WolframAlpha.

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