# math

posted by layth

x.y=30 and x+y=10.3, I end up with
x=(21.83+60.66i)/(-5.15-5.89i).
i is the square root of (-1).
could you please show me how this equation will = 10.3
I am having problem to figure it out.
thank you.

1. MathMate

It is a similar problem of having a rectangle of area 30 units and the semi-perimeter is 10.3.

Using calculus, we find that the minimum real semi-perimeter is 2√30=10.95.

Unless you are working with complex numbers, there is a good chance that there is erroneous data in the question. Did you derive the data (like 10.3) from an experiment, or was it calculated from some other sources?

2. layth

my Teacher gave this problem

3. MathMate

Ask the teacher if he/she expects complex roots, which are approx. 5.15±1.86i.

4. layth

if my teacher expects complex roots, what will be the final answer if i add x+y = 10.3 = ??
thank you

5. MathMate

If
x=5.15+1.86i
y=5.15-1.86i
xy=29.98
x+y=10.3
Note that numerical values are rounded (except 5.15).
Do the multiplication as an exercise.

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