Any other quadratic equation is best solved by using the Quadratic Formula. Solving a Quadratic Equation Solve each equation by factoring or using the quadratic formula. If the equation fits the form \(ax^2=k\) or \(a(x−h)^2=k\), it can easily be solved by using the Square Root Property. If the quadratic factors easily this method is very quick. To identify the most appropriate method to solve a quadratic equation:.if \(b^2−4acAlthough the quadratic formula works on any quadratic equation in standard form, it is easy to make errors in substituting the values into the formula. if \(b^2−4ac=0\), the equation has 1 solution. The fourth method of solving a quadratic equation is by using the quadratic formula, a formula that will solve all quadratic equations.When you solve the following general equation: 0 ax² + bx + c. The solution (for real numbers) is where the parabola cross the x-axis. Graphically, since a quadratic equation represents a parabola. if \(b^2−4ac>0\), the equation has 2 solutions. The solution of a quadratic equation is the value of x when you set the equation equal to zero.Using the Discriminant, \(b^2−4ac\), to Determine the Number of Solutions of a Quadratic Equationįor a quadratic equation of the form \(ax^2+bx+c=0\), \(a \ge 0\) ,.Then substitute in the values of a, b, c. Write the quadratic formula in standard form.To solve a quadratic equation using the Quadratic Formula. Solve a Quadratic Equation Using the Quadratic Formula.Quadratic Formula The solutions to a quadratic equation of the form \(ax^2+bx+c=0\), \(a \ge 0\) are given by the formula:.The equation is in standard form, identify a, b, c.īecause the discriminant is negative, there are no real solutions to the equation.īecause the discriminant is positive, there are two solutions to the equation.īecause the discriminant is 0, there is one solution to the equation. ![]() This last equation is the Quadratic Formula.ĭetermine the number of solutions to each quadratic equation:
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |