SOLUTION: Please help me to solve question value of x and y when (x+yi)^2=5+4i

Question 1150857: Please help me to solve question value of x and y when (x+yi)^2=5+4i

Found 2 solutions by josgarithmetic, math_helper:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!

Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
An easy way to solve this is to use polar form of the complex number:
5+4i =

where = 0.67474 radians to 5 decimal places

5+4i =

From here, take the square root of the leading coeffiient and divide by two:

Using :

which gives you x and y by direct comparison.

And of course, the negative of that answer, because (-a)^2 = (a)^2

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