What is the answer to solvefor x,fi=(gr)/x ?

The answer to solvefor x,fi=(gr)/x is x=-(rg)/f i

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solvefor x,fi=(gr)/x

solve for

x, f i = \frac{g r}{x}

x = - \frac{r g}{f} i

Solution steps

f i = \frac{g r}{x}

Substitute

x = a + bi

f i = \frac{g r}{a + bi}

Multiply both sides by

a + bi

f i (a + bi) = \frac{g r}{a + bi} (a + bi)

Simplify

- f b + i f a = r g

Rewrite

r g

in standard complex form:

r g + 0 i

- f b + i f a = r g + 0 i

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

[- f b = r g f a = 0]

[- f b = r g f a = 0] : (a = 0, b = - \frac{r g}{f})

Substitute back

x = a + bi

x = - \frac{r g}{f} i

z^{2} - (5 - 4 i) z + 20 i = 0

x + i y - 2 i - 3 = x + i y + 2 i + 3

∣ z ∣^{2} + z - i = 11

(x + i y)^{2} = 5 - 12 i

- x^{2} + 125.6637 x i + 1184 = 0

What is the answer to solvefor x,fi=(gr)/x ?
The answer to solvefor x,fi=(gr)/x is x=-(rg)/f i