What is the answer to solvefor r,i= e/r ?

The answer to solvefor r,i= e/r is r=-ei

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solvefor r,i= e/r

solve for

r, i = \frac{e}{r}

r = - e i

Solution steps

i = \frac{e}{r}

Substitute

r = x + y i

i = \frac{e}{x + y i}

Multiply both sides by

x + y i

i (x + y i) = \frac{e}{x + y i} (x + y i)

Simplify

- y + i x = e

Rewrite

e

in standard complex form:

e + 0 i

- y + i x = e + 0 i

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[- y = e x = 0]

[- y = e x = 0] : x = 0, y = - e

Substitute back

r = x + y i

r = - e i

x + y i = 3 - 2 i

Z^{2} = 3 - 4 i

(a^{2} - b^{2}) + 2 abi = - 8 - 6 i

6 i = (x + i) (y + i) + 1

i y (2 - i) + 1 = 4 i - x (1 - i)

What is the answer to solvefor r,i= e/r ?
The answer to solvefor r,i= e/r is r=-ei