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

📚Flashcards
Solving Equations with Complex Coefficients
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Condition for z=wz=w where z=a+biz=a+bi, w=c+diw=c+di

Re(z)=Re(w)\text{Re}(z)=\text{Re}(w) and Im(z)=Im(w)\text{Im}(z)=\text{Im}(w)

For complex equality, real components must...

be equal

For complex equality, imaginary components must...

be equal

In 4x−3i(x+2y)=y+94x-3i(x+2y)=y+9, identify real components

4x4x and y+9y+9

In 4x−3i(x+2y)=y+94x-3i(x+2y)=y+9, identify imaginary components

−3i(x+2y)-3i(x+2y) and 0i0i

When equating imaginary parts, what can be discarded?

The ii (all terms have it)

How many equations result from one complex equation?

Two equations

Method to solve the two equations from complex equation

Solve simultaneously

In 4x−3i(x+2y)=y+94x-3i(x+2y)=y+9, value of xx

x=2x=2

In 4x−3i(x+2y)=y+94x-3i(x+2y)=y+9, value of yy

y=−1y=-1

Join 100,000+ Leaving Cert students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.