Question

2x+i⁴y = 2i find values of x and y
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Answer 1

Answer:

$2x + {i}^{4} y = 2i \\ 2x + {i}^{4} y - 2i = 0 \\ 2x + i( {i}^{3} y - 2) = 0 \\ we \: know \: that \: 0 + i0 = 0 \\ \: so \: by \: comparing \: we \: cn \: write \\ 2x = 0 \: \: \: \: \: and \: \: \: \: \: {i}^{3} y - 2 = 0 \\ x = 0 \: \: \: \: \: and \: \: \: \: \: y = \frac{2}{ {i}^{3} } = \frac{2}{ {i}^{2}.i } = \frac{2}{ - i} = \frac{2}{ - \sqrt{ - 1} } \\ ...( {i}^{2} = - 1)$