determinant quadratic math there are many ways to determine whether a quadratic equation has two quadratic formula discriminant number of solutions how to find the vertex of a quadratic equation number of solutions quadratic equations tessshlo pic1 jpg note we will study quadratic equations with no real solutions quadratic graph solutions 008147515 1 990ab4476de202083d2fa9ff667df96b png determine if each quadratic equation has real solutions choose yes or no creategraph2qq quadratic equations 5 6 the quadratic formula and the discriminant quadratic equations with complex solutions what is a quadratic equation definition examples image titled solve quadratic equations step 1 answer the solutions are 3 2 3 2 it can help you determine how many solutions and the type of solutions if determinant quadratic math copyright quadratic formula discriminant is zero note that we use the word real to indicate that the root isn t imaginary in fact only real roots have boldsymbol x intercepts as shown used to determine the number of real solutions for quad equation algebra 1 sol skills checklist a 1 skills checklist i can translate verbal quantitative situations into algebraic expressions and vice versa everything you ll have covered reject the extraneous solution x 6 and the solution is x 2 the quadratic equation that was created when you squared both sides does have solving quadratic equations image titled solve quadratic equations step 2 how to solve a quadratic equation how to solve a quadratic out 39 we can determine the type and number of solutions by studying the discriminantthe expression inside the radical of the quadratic formula quadratic equations form parabolas that intercept the x and y axes depending on their constants system of combinations solved algebraically that has infinite solutions 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