What is the answer to -0.0086i= 1/(x*i) ?

The answer to -0.0086i= 1/(x*i) is x= 1/(0.0086)

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-0.0086i= 1/(x*i)

- 0.0086 i = \frac{1}{x \cdot i}

x = \frac{1}{0.0086}

Decimal

x = 116.27906 \dots

Solution steps

- 0.0086 i = \frac{1}{x i}

Substitute

x = a + bi

- 0.0086 i = \frac{1}{( a + bi ) i}

Multiply both sides by

(a + bi) i

- 0.0086 i (a + bi) i = \frac{1}{( a + bi ) i} (a + bi) i

Expand

0.0086 a + 0.0086 ib = 1

Rewrite

1

in standard complex form:

1 + 0 i

0.0086 a + 0.0086 ib = 1 + 0 i

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

[0.0086 a = 1 0.0086 b = 0]

[0.0086 a = 1 0.0086 b = 0] : a = \frac{1}{0.0086}, b = 0

Substitute back

x = a + bi

x = \frac{1}{0.0086}

m^{2} + n + 4 i = - 3 - m^{2} ni

\frac{a + 2 i}{b - 3 i} = 1 + i

(a + bi)^{2} = - 3 - 4 i

z^{2} - z = 5 - 5 i

(1 + 3 i) z^{2} + (5 + 6 i) z + 7 - 6 i = 0

What is the answer to -0.0086i= 1/(x*i) ?
The answer to -0.0086i= 1/(x*i) is x= 1/(0.0086)