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. Quadratic equations have an x2 term, and can be rewritten to have the form: a x 2 + b x + c 0. 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.Solve by using the Quadratic Formula: 1 2 u 2 + 2 3 u 1 3. We can use the same strategy with quadratic equations. Hence, the required solution of the quadratic equation 2 x 2 + 8 x + 3 0 is x ± 5 2 2. Consider the quadratic equation, a x 2 + b x + c 0, a 0. Using the Discriminant, \(b^2−4ac\), to Determine the Number of Solutions of a Quadratic Equationįor a quadratic equation of the form \(ax^2+bx+c=0\), \(a \ge 0\) , This gave us an equivalent equationwithout fractions to solve. Steps to Solve Quadratic Equation by Completing the Square Method.Then substitute in the values of a, b, c. There are also algebraic fractions worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck. ![]()
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