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. If the quadratic factors easily, this method is very quick. How to identify the most appropriate method to solve a quadratic equation.if b 2 − 4 ac if b 2 − 4 ac = 0, the equation has 1 real solution. The solution (s) to a quadratic equation can be calculated using the Quadratic Formula: The '' means we need to do a plus AND a minus, so there are normally TWO solutions The blue part ( b2 - 4ac) is called the 'discriminant', because it can 'discriminate' between the possible types of answer: when it is negative we get complex solutions.If b 2 − 4 ac > 0, the equation has 2 real solutions.For a quadratic equation of the form ax 2 + bx + c = 0,.Using the Discriminant, b 2 − 4 ac, to Determine the Number and Type of Solutions of a Quadratic Equation This algebra video tutorial explains how to solve quadratic equations by factoring in addition to using the quadratic formula.Then substitute in the values of a, b, c. Write the quadratic equation in standard form, ax 2 + bx + c = 0.How to solve a quadratic equation using the Quadratic Formula.We start with the standard form of a quadratic equation and solve it for x by completing the square. Now we will go through the steps of completing the square using the general form of a quadratic equation to solve a quadratic equation for x. We have already seen how to solve a formula for a specific variable ‘in general’, so that we would do the algebraic steps only once, and then use the new formula to find the value of the specific variable. In this section we will derive and use a formula to find the solution of a quadratic equation. Each method also provides information about the corresponding quadratic graph. Mathematicians look for patterns when they do things over and over in order to make their work easier. Solve quadratic equations by factorising, using formulae and completing the square. By the end of the exercise set, you may have been wondering ‘isn’t there an easier way to do this?’ The answer is ‘yes’. When we solved quadratic equations in the last section by completing the square, we took the same steps every time. Solve Quadratic Equations Using the Quadratic Formula
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