Quadratic Equations with Complex Solutions Test

Take this Quadratic Equations with Complex Solutions Test to test your knowledge about this important math topic. When solving quadratic equations, sometimes the solutions involve complex numbers. Complex solutions arise when the discriminant is negative and therefore the quadratic equation has no real solutions. In this case, we use the imaginary unit i, which is defined as the square root of -1, to express the solutions in terms of complex numbers. As a reminder, the complex solutions are always in conjugate pairs, which means that if one solution is a+bi, the other solution will be a-bi. To solve quadratic equations with complex solutions, you can use the quadratic formula or complete the square just like we would for equations with real solutions.