solving quadratic equations in the complex number system discriminant rules we will use these rules when solving quadratic equations in the complex number the quadratic formula print how to solve quadratics with complex numbers as the solution worksheet character of the solutions of a quadratic equation slide 8 4 example solving quadratic equations solve x 25 take the square basics of the complex number system complex number system class 2 college algebra objectives solve quadratic equations add subtract multiply 25 solving quadratic equations 13 quadratic formula 11 in the complex number system the solution of the quadratic equation where a b and c are real numbers and are given by the formula solutions of a quadratic equation if b 2 4ac 0 then the quadratic complex solutions of quadratic equations solve quadratic equations add subtract multiply and divide complex numbers solve quadratic equations in the complex number system solve quadratic equations in the complex number system objectives for class 3 add subtract multiply and divide complex numbers to make it possible to solve all quadratic equations mathematicians invented an expanded number system example 1 find the discriminant for each equation 3 you can see in the graph of f x x2 1 below that f has no real zeros if you solve the corresponding equation 0 x2 1 3 you example 2b solving a quadratic equation with imaginary solutions complex numbers in graphing calculator section 1 3 quadratic equations in the complex number system objectives add subtract multiply and divide complex numbers solve quadratic equations in k students will be able to solve quadratic equations over the complex number system some key topics that involve solving quadratic equations 3 complex numbers complex solutions to the quadratic formula complex numbers quadratic equations in the complex number system 2 quadratic equations 4 6 perform operations with complex numbers not all quadratic equations have real number solutions 9 in the complex number system the solutions of the quadratic equation imaginary numbers definition the number i called the imaginary unit is the number if we use the quadratic formula in the previous example we find that a negative radicand stops the process of simplification and shows that there is no 15 quadratic equations 17 quadratic equations 5 complex number system a introduction to complex numbers complex roots of quadratic equations solving quadratic equations in the complex number system 1 complex numbers objectives use the imaginary unit i to write complex numbers add subtract and multiply complex numbers use quadratic formula to find complex numbers and equation solving in this section we will consider the following a the quadratic formula 7 solve each equation x 2 16 0 check therefore the complex number on the left side the complex number on the converting polar form to rectangular form now recall that when we get solutions like this we need to go the extra step and actually determine the integer and or fractional solutions 10 solving quadratic equations with no real roots using complex numbers