Question
Download Solution PDFIf 2x2 + (x2 - y)i = (8 - 3i), find the values of x and y
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Equality of complex numbers:
Two complex numbers z1 = x1 + iy1 and z2 = x2 + iy2 are equal if and only if x1 = x2 and y1 = y2
Or Re (z1) = Re (z2) and Im (z1) = Im (z2)
Calculation:
Given that, 2x2 + (x2 - y)i = (8 - 3i)
Comparing the real and imaginary parts,
⇒ 2x2 = 8
⇒ x2 = 4
⇒ x = -2, 2
And, x2 - y = -3
⇒ 4 - y = -3 [∵ x2 = 4]
⇒ y = 7
Hence, option (3) is correct.Last updated on May 6, 2025
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