What is the answer to (360)/(ir)-1500=0 ?

The answer to (360)/(ir)-1500=0 is r=-6/25 i

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(360)/(ir)-1500=0

\frac{360}{i r} - 1500 = 0

r = - \frac{6}{25} i

Solution steps

\frac{360}{i r} - 1500 = 0

Substitute

r = x + y i

\frac{360}{i ( x + y i )} - 1500 = 0

Multiply both sides by

i (x + y i)

\frac{360}{i ( x + y i )} i (x + y i) - 1500 i (x + y i) = 0 i (x + y i)

Expand

(360 + 1500 y) - 1500 i x = 0

Rewrite

0

in standard complex form:

0 + 0 i

(360 + 1500 y) - 1500 i x = 0 + 0 i

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

[360 + 1500 y = 0 - 1500 x = 0]

[360 + 1500 y = 0 - 1500 x = 0] : x = 0, y = - \frac{6}{25}

Substitute back

r = x + y i

r = - \frac{6}{25} i

(x + y i)^{2} = i

1 0^{3} = \frac{i}{i o}

a + ib = 3 + 2 i

- 0.008647 i = \frac{1}{x \cdot i}

x^{2} - y^{2} + x i - y i = 21 + 3 i

What is the answer to (360)/(ir)-1500=0 ?
The answer to (360)/(ir)-1500=0 is r=-6/25 i