Tuesday, October 21, 2014

What are a and b if (a+2)/3+(b-1)/i-(a-1)*i^-1-(b+1)*2^-1 ?

It is not possible to find the values of a and b from the
expression you have provided. I have solved what I think would have been the equation: (a+2)/3 +
(b-1)/i = (a-1)*i^-1 - (b+1)*2^-1


(a+2)/3+(b-1)/i = (a-1)*i^-1 -
(b+1)*2^-1


=> (a+2)/3 + (b-1)/i = (a-1)/i -
(b+1)/2


=> [i(a+2) + 3(b - 1)]/3i = [2(a - 1) - i(b +
1)]/2i


=> [2i(a+2) + 6(b - 1)] = [6(a - 1) - 3i(b +
1)]


=> [2ai + 4i + 6b - 6] = [6a - 6 - 3bi -
3i]


equate the real and complex
coefficients


=> 2a + 4 = -3b - 3 and 6b - 6 = 6a -
6


6b - 6 = 6a - 6


=> a =
b


substitute a for b in 2a + 4 = -3b -
3


=> 2b + 4 = -3b - 3


=>
5b = -7


=> b = -7/5


a = b =
-7/5


The required values of a and b are a = -7/5 and b
= -7/5

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