Question

solve for z, find the root

Answer 1

\[\sqrt{z^2+5}-2=z\]

Answer 2

1/2 ?

Answer 3

no solution

Answer 4

no;
1/4 is the answer:)

Answer 5

yes 1/4; I did -5 instead of +5

Answer 6

\[\sqrt{z^2+5}-2=z\]\[\implies \sqrt{z^2+5}=z+2.\]\[\implies z^2+5=z^2+4z+4.\]\[\implies 4z =1 \implies z = \frac{1}{4}.\]