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## Homework Statement

Verify ## f(z)= z^3-5iz+√7## satisfies cauchy riemann equations.

## Homework Equations

## The Attempt at a Solution

seeking alternative method

## f(z)= (x^3+5y-3xy^2+√7)+ (3x^2y-y^3-5x)i##

##∂u/∂x = 3x^2-3y^2 = ∂v/∂y##

##∂v/∂x=6xy-5= -∂u/dy##

hence satisfies.

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