Solve: √2z+3 = - z. If there are multiple solutions, list them separated by a comma, e.g., 1, 2. If there is no solution,enter Ø.

Answer:Step-by-step explanation:[tex]\sqrt{2z}[/tex] + 3 = -z[tex]\sqrt{2z}[/tex] = -z - 3Square both sides , we have2z = [tex](-z-3)^{2}[/tex]2z = [tex]z^{2}[/tex] + 6z + 9re arranging the equation , we have[tex]z^{2}[/tex] + 6z - 2z + 9 = 0[tex]z^{2}[/tex] + 4z + 9 = 0This will give a complex roots , solving by quadratic formulaz = -2 + [tex]\sqrt{5}[/tex]i , -2 - [tex]\sqrt{5}[/tex]i