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Popular >

simplify |z-1+i|

Solution

simplify

∣ z - 1 + i ∣

Solution

z^{2} - 2 z + 2

Solution steps

∣ z - 1 + i ∣

Apply complex arithmetic rule:

∣ a + bi ∣ = a^{2} + b^{2}

∣ z - 1 + i ∣ = (z - 1)^{2} + 1^{2}

= (z - 1)^{2} + 1^{2}

1^{2} = 1

= (z - 1)^{2} + 1

Expand

(z - 1)^{2} + 1 : z^{2} - 2 z + 2

= z^{2} - 2 z + 2

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Frequently Asked Questions (FAQ)

What is |z-1+i| ?
The solution to |z-1+i| is sqrt(z^2-2z+2)