What is the answer to 3x-5six=-5 ?

The answer to 3x-5six=-5 is s=0,x=-5/3

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3x-5six=-5

3 x - 5 s i x = - 5

s = 0, x = - \frac{5}{3}

Solution steps

3 x - 5 s i x = - 5

Rewrite

3 x - 5 s i x

in standard complex form:

3 x - 5 s x i

3 x - 5 s x i = - 5

Rewrite

- 5

in standard complex form:

- 5 + 0 i

3 x - 5 s x i = - 5 + 0 i

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

[3 x = - 5 - 5 s x = 0]

[3 x = - 5 - 5 s x = 0] : s = 0, x = - \frac{5}{3}

s = 0, x = - \frac{5}{3}

z^{2} - 8 i = 0

(3 - 6 i) (2 - ai) = x

z - 2 x + 7 - 6 i = 0

3 + 8 i = x + y i

∣ z - 3 i ∣ = 3