Solving Equations with Complex Coefficients (Leaving Cert Mathematics): Quizzes

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Solving Equations with Complex Coefficients
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For two complex numbers to be equal, what must be true?

Both Re and Im components must be equal

What is the first step when solving equations with complex coefficients?

Identify all components

When solving complex equations, what do we equate with each other?

Real with real, imaginary with imaginary

When equating imaginary components, what do we discard?

The ii

How many equations result from equating real and imaginary components?

Two equations

How are the two derived equations solved?

Simultaneously

In 4x−3i(x+2y)=y+94x-3i(x+2y)=y+9, what is the real component on the left side?

4x4x

In 4x−3i(x+2y)=y+94x-3i(x+2y)=y+9, what is the imaginary component on the right side?

0i0i

What is the first equation derived from equating real components in the example?

4x=y+94x=y+9

What equation results from equating imaginary components in the example?

−3(x+2y)=0-3(x+2y)=0

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