[sabre2th1]

I know you have to equate the real and imaginary parts of the equation...

But with 'abi' how do you know whether it is (a x bi) or (b x ai) or (abi)..

In other words, what do I equate 3a-b to and what do I equate 12 to

[Augmented hippo]

(Original post by sabre2th1)


I know you have to equate the real and imaginary parts of the equation...

But with 'abi' how do you know whether it is (a x bi) or (b x ai) or (abi)..

In other words, what do I equate 3a-b to and what do I equate 12 to

a*bi is the same as b*ai and abi. The key is equating the real and imaginary parts of both sides of the equation.

[Lord of the Flies]

(Original post by sabre2th1)


I know you have to equate the real and imaginary parts of the equation...

But with 'abi' how do you know whether it is (a x bi) or (b x ai) or (abi)..

In other words, what do I equate 3a-b to and what do I equate 12 to

LHS real part is 0, imaginary part is ab. So you equate 3a-b to 0 and 12 to ab.

[sabre2th1]

(Original post by Augmented hippo)
a*bi is the same as b*ai and abi. The key is equating the real and imaginary parts of both sides of the equation.

(Original post by Lord of the Flies)
LHS real part is 0, imaginary part is ab. So you equate 3a-b to 0 and 12 to ab.

so if we had a + bi, a is the real part but bi is imaginary? Could one say 'b' on its own is real?

Thanks

[Lord of the Flies]

(Original post by sabre2th1)
so if we had a + bi, a is the real part but bi is imaginary? Could one say 'b' on its own is real?

Thanks

This is how it works:









(a part is always a real number, picture them as coefficients (real part is the "coefficient of the unit of real numbers, 1", imaginary part is the "coefficient of the unit of complex numbers, i"))

[f1mad]

Equate real and imaginary parts.

Hint: The real part of the LHS is zero.

[sabre2th1]

(Original post by Lord of the Flies)
This is how it works:









(a part is always a real number, picture them as coefficients (real part is the "coefficient of the unit of real numbers, 1", imaginary part is the "coefficient of the unit of complex numbers, i"))

regarding the bold part, what do you mean with a part? btw I understand that the imaginary part is the coefficient of i..

Thanks

(Original post by f1mad)
Equate real and imaginary parts.

Hint: The real part of the LHS is zero.

i understand now, thanks..

[Lord of the Flies]

(Original post by sabre2th1)
regarding the bold part, what do you mean with a part? btw I understand that the imaginary part is the coefficient of i..

Thanks

A complex number has a real part and an imaginary part such that

It's basic terminology!

[sabre2th1]

(Original post by Lord of the Flies)
A complex number has a real part and an imaginary part such that

It's basic terminology!

Thank you