Any other quadratic equation is best solved by 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. Improve your math knowledge with free questions in 'Solve a quadratic equation by factoring' and thousands of other math skills. If the quadratic factors easily this method is very quick. To identify the most appropriate method to solve a quadratic equation:.if \(b^2−4acif \(b^2−4ac=0\), the equation has 1 solution.if \(b^2−4ac>0\), the equation has 2 solutions.Using the Discriminant, \(b^2−4ac\), to Determine the Number of Solutions of a Quadratic Equationįor a quadratic equation of the form \(ax^2+bx+c=0\), \(a \ge 0\) ,.If the quadratic factors easily, this method is very quick. Then substitute in the values of a, b, c. Methods to Solve Quadratic Equations: Factoring Square Root Property Completing the Square Quadratic Formula How to identify the most appropriate method to solve a quadratic equation. 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:
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