What is the answer to p=iv ?

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p=iv

p = i v

p = 0, v = 0

Solution steps

p = i v

Rewrite

p

in standard complex form:

p + 0 i

p + 0 i = i v

Rewrite

i v

in standard complex form:

0 + v i

p + 0 i = 0 + v i

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

[p = 0 0 = v]

[p = 0 0 = v] : p = 0, v = 0

p = 0, v = 0

a (1 + 2 i) + b (2 - 3 i) = 5 + 3 i

- 4 i + 4 y - 8 = - 2 + x i + 5 x

z^{2} + (5 + 6 i) z - 3 + 15 i = 0

- 3 i + 4 y = - 2 + x i

y, (2 x - y) - 16 i = 10 + 4