Solve foraandbif:(jb)/(1-j)=(a-j)2jAny help will be much appreciated.

Thanks in advance

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- Mar 5th 2012, 09:05 AMScoplexSolve for a and b if:
Solve for

__a__and__b__if:**(jb)/(1-j)=(a-j)2j**Any help will be much appreciated.

Thanks in advance - Mar 8th 2012, 01:42 AMprincepsRe: Solve for a and b if:
- Mar 8th 2012, 05:58 AMWilmerRe: Solve for a and b if:
- Mar 8th 2012, 07:16 AMprincepsRe: Solve for a and b if:
- Mar 8th 2012, 08:18 AMWilmerRe: Solve for a and b if:
Well, you sure got me confused! We start with:

**(j*b) / (1 - j) = 2*j*(a - j)**

We're to solve for a and b;

b is straightforward: b = [2j(a - j)(1 - j)] / j

Solving for a leads to:

a = [2j(j - 1) - b] / [2(j -1)]

That checks out perfectly with the initial equation.

And there's loads of solutions; examples with all positive integers:

(a,b,j) = (1,2,2), (2,4,3), (1,8,3), (3,6,4), (4,8,5)

Can you explain why you jump to j^2 = -1 ? (Speechless) - Mar 8th 2012, 08:52 AMprincepsRe: Solve for a and b if:
I think that $\displaystyle j$ is imaginary unit .

- Mar 8th 2012, 09:52 AMWilmerRe: Solve for a and b if: