![]() The goal is to transform the quadratic equation such that the quadratic expression is isolated on one side of the equation while the opposite side only contains the number zero, latex0/latex. Any other quadratic equation is best solved by using the Quadratic Formula. In order use the quadratic formula, the quadratic equation that we are solving must be converted into the standard form, otherwise, all subsequent steps will not work. 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^2−4acif \(b^2−4ac=0\), the equation has 1 solution. ![]() if \(b^2−4ac>0\), the equation has 2 solutions. There are several methods to solve quadratic equations, but the most common ones are factoring, using the quadratic formula, and completing the square.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. This packet helps students practice how to solve basic quadratic equations using square roots and completing the square.
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