In algebra there are several techniques to solve quadratic equations, one of the most used is the technique of completing the square. With the Completing the Square Calculator you will be able to solve all kinds of quadratic equations (solving quadratic equations by completing the square has never been so easy).
This calculator is completely free, the only thing we ask you in return is that you share it with anyone you think might be useful.
To use the complete the square calculator follow these simple steps:
Completing the square is an algebraic method with which we can convert a quadratic expression from the form ax2+bx+c to the form a(x–h)2+k, through basic arithmetic operations. In other words, Completing the Square is the process of manipulating the form of the equation so that the left side of the equation becomes a perfect square trinomial.
Completing the square is a useful technique for solving quadratic equations because it allows you to find the solutions in a simple and straightforward manner. It is also a useful tool for graphing quadratic equations because it allows you to easily identify the vertex of the graph.
To solve quadratic equations by completing the square, the following procedure must be performed:
The steps explained above are summarized in the following formula:
ax2 + bx + c ⇒ a(x + m)2 + n
m = b/2a and n = c – (b2/4a)
Here is an example using the completing the square calculator:
Here are some examples generated with the help of the completing the square calculator.
Solve by completing the square: 5x2 – 13x = 5
Solve by completing the square: x2 + 6x + 13 = 0