Solving complex equations
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Equating real and imaginary parts to solve complex equations
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Solving complex equations
AHL 1.12
We can solve complex equations involving z and z∗ by using the fact that a complex number z takes the form a+bi. Recall that for complex numbers z1 and z2,
z1=z2⟺{Re(z1)=Re(z2)Im(z1)=Im(z2)
We use this fact to equate the real and imaginary parts of both sides, which creates a solvable a system of two equations in two unknowns from one given equation.
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