Question

Complex number problem
If z= 7-24i, a<= lz+2l <=b , what is the maximum value of b-a
lz+2l denotes the absolute value of z+2

Answer 1

we have:
\(z+2=9-24i\)
so:\[\left| {z + 2} \right| = \sqrt {81 + 576} = 25.63...\]
therefore, we can write:
\[24 \leqslant \left| {z + 2} \right| \leqslant 26\]

Answer 2

better is:
\[25 \leqslant \left| {z + 2} \right| \leqslant 26\]

Answer 3

So what is the maximum value? I tried 1 and 2 but it isn't the correct answer.

Answer 4

@Michele_Laino

Answer 5

Maximum? You mean minimum? Because for me, answer would be something like \(\infty\).

Answer 6

Do you mean \(a-b\)? can you recheck question?