Equality of Complex Numbers (Pre-Calc)...?

Question

Find x and y assuming that √-25 + x + yi - 5 = 0

*The -25 has a square root over it*

Answer 1

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√-25= 5i

therefor eq b'comes (x-5) +(y+5)i = 0 + 0i

implies x-5 = 0 y+5 = 0

x=5 y= -5

Answer 2

whilst working with complicated numbers, in basic terms combine like words...upload the real areas at the same time and upload the imaginary areas at the same time, and that's it... a million. (8 + 3i) + (4 – i) = 12 + 2i whilst multiplying, use FOIL. do no longer forget approximately that i^2 is -a million: 3. (a million + 3i) ( 3 – 2i) F: 3 O: -2i I: 9i L: -6i^2 bear in strategies, -6i^2 = -6(-a million) = 6. So, upload that to the 1st 3 and you get: 9 + 7i 5. (4 + 7i)^2 it is comparable to doing (4 + 7i) (4 + 7i). you ought to use FOIL in basic terms like above...the two center words would be an identical, for sure. the respond could be: sixteen + 56i + 49i^2 = sixteen + 56i - 40 9 = -33 + 56i the rest are an identical, so which you have got the skill to get them now. stable success!