Drag each tile to the correct box. Not all tiles will be used. One solution each is given for four quadratic equations. Assuming that each quadratic equation has two solutions, what is the second solution for each equation?

In order from top to bottom, the tiles are,

x=5+4i

x=-4+5i

x=4-5i

Step-by-step explanation:

All of these solutions are complex numbers, which means the equation has imaginary roots. Complex numbers are written in the form of a+bi, where a is a real number and bi represents the imaginary number. For quadratic equations, complex roots are often also complex conjugates. This means that the solution is x=a+bi, so to find the other conjugate simply switch the sign. For example, if x=5-4i is a solution, so is x=5+4i.