![solve the equation using the quadratic formula solve the equation using the quadratic formula](https://www.chilimath.com/wp-content/uploads/2019/02/quadform-ex1d.png)
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. Then, we do all the math to simplify the expression. To use the Quadratic Formula, we substitute the values of a, b, and c into the expression on the right side of the formula.
![solve the equation using the quadratic formula solve the equation using the quadratic formula](https://www.mathwarehouse.com/quadratic/images/formula_solution_-3_and_1.gif)
If the quadratic factors easily, this method is very quick. The solutions to a quadratic equation of the form a x 2 + b x + c 0, a 0 are given by the formula: x b ± b 2 4 a c 2 a.
![solve the equation using the quadratic formula solve the equation using the quadratic formula](https://www.math-salamanders.com/image-files/factoring-quadratic-equations-2ans.gif)
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. The fourth method of solving a quadratic equation is by using the quadratic formula, a formula that will solve all quadratic equations. Mathematicians look for patterns when they do things over and over in order to make their work easier. 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. x (b) Give real answers rounded to two decimal places. If there is no real solution, enter NO REAL SOLUTION.) 56xx20 (a) Give real answers exactly. (Enter your answers as a comma-separated list. Solve Quadratic Equations Using the Quadratic Formula Question: Solve the equation using the quadratic formula.