What is the answer to -0.008647i= 1/(x*i) ?

The answer to -0.008647i= 1/(x*i) is x= 1/(0.008647)

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-0.008647i= 1/(x*i)

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

x = \frac{1}{0.008647}

Decimal Notation

x = 115.64704 \dots

Solution steps

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

Substitute

x = a + bi

- 0.008647 i = \frac{1}{( a + bi ) i}

Multiply both sides by

(a + bi) i

- 0.008647 i (a + bi) i = \frac{1}{( a + bi ) i} (a + bi) i

Expand

0.008647 a + 0.008647 ib = 1

Rewrite

1

in standard complex form:

1 + 0 i

0.008647 a + 0.008647 ib = 1 + 0 i

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

[0.008647 a = 1 0.008647 b = 0]

[0.008647 a = 1 0.008647 b = 0] : a = \frac{1}{0.008647}, b = 0

Substitute back

x = a + bi

x = \frac{1}{0.008647}

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

z^{2} = - 4 - 2 i

\frac{( 2 + ai )}{1 + i} = re a l

2 x^{2} = 14 x - 30 i

s i f (x) = - 2 x + 5, E (s, x) = f (1) + f (- 1)

What is the answer to -0.008647i= 1/(x*i) ?
The answer to -0.008647i= 1/(x*i) is x= 1/(0.008647)