use graphs and technology to solve quadratic equations algebra ck 12 foundation 9 example 3 no real solution number theory use a quadratic equation 1 example notes over 5 6 use the quadratic formula to solve the equation 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 solve an equation with one real solutions 4 determine the number of x intercepts for the quadratic equation below one real solution guided practice for example 4 find the discriminant of the quadratic equation and give the solving quadratic equations 8 examples quadratic graph solutions 20 example 3a yzing quadratic answer the solutions are solve a 2 b 14 and c 19 classroom example 2 9 solve quadratic equations guided practice for example 4 find the discriminant of the quadratic equation and give the number ex quadratic formula one real rational repeated solution when there is only one solution such as that shown in the following system the two equation at only one place known as a tangent 8 example 1 the solutions are 1 2 and 3 the following example shows that we can obtain the same results using the quadratic formula 4 example 1 solving quadratic equations 5 example 1b solve the quadratic example 4 use the discriminant if the quadratic equation is in the standard form ax2 solve an equation with imaginary solutions solving quadratic equations 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 solving a quadratic with the quadratic formula no solutions solution by factoring example 1 find the roots of each quadratic by factoring we need to solve quadratic equations ax2 b c 0 in a variety algebra 1 worksheets quadratic functions worksheets using the quadratic formula number of solutions khan academy 3 example 2 solve a quadratic example 2 solve a quadratic equation having one solution step 2 graph the function y an example one solution image titled solve quadratic equations step 1