K8aPrincessica K8aPrincessica

21-11-2016
Mathematics

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Find x and y. Remember that a + bi = c + di exactly when a = c and b = d. 8 = (4+8i)(x+yi)

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johnkellock johnkellock

23-11-2016

x+yi = 8/(4+8i)x+yi = 2/(1+2i)x+yi = 2/(1+2i) × (1−2i)/(1−2i)x+yi = (2−4i) /5x+yi = 2/5−4/5i

x= 2/5
y= -4/5i

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