← Quadratic and cubic equations with complex rootsQuestion 1 of 39 · AS91577

A

A Hamilton physics student models a damped oscillation. The model’s characteristic equation is z² + 8z + 41 = 0.

Only your final answer is marked, not your working.

A(a) Find the two complex roots, in the form a + bi.

A(b) The two roots are plotted on an Argand diagram. How far apart are they?