Completing The Square Calculator

Now, What Exactly Is A “Completing The Square Calculator”?

A completing the square calculator is a tool that helps you find the value of a certain variable in a quadratic equation by completing the square. This process involves adding a certain term to both sides of the equation so that one side is a perfect square. This can be helpful in solving for the roots of a quadratic equation, as well as in graphing quadratic functions.

Free Completing the Square Calculator With Steps

This is a very simple tool for Completing the Square Calculator. Follow the given process to use this tool.

☛ Step 1: Enter the complete equation/value in the input box i.e. across “Provide Required Input Value:”

☛ Step 2: Click “Enter Solve Button for Final Output”.

☛ Step 3: After that a window will appear with final output.

Hope you found this Free Completing the Square Calculator useful. Do visit usefulknot.com for more.

Formula for completing the square

To complete the square, first find the equation of the parabola. Next, divide each term in the equation by the coefficient of x2. Finally, add 1/4 to each term in the equation.

x2 + bx + c = 0

x2 + bx = -c

1/4 (x2 + bx) = -c/4

x2 + bx + (1/4) = -c/4 + (1/4)

x2 + bx + 1/2 = -c/4

x2 + bx + 1/4 = -c/2

Completing The Square Definition

Completing the square is a mathematical technique used to solve quadratic equations. The technique involves adding a constant to the equation so that the left side of the equation is a perfect square.

Example of completing the square based on Formula

The standard form of a quadratic equation is given by the formula:

ax2 + bx + c = 0

where a, b, and c are coefficients.

For example, if the coefficients are a = 1, b = 2, and c = 3, then the standard form of the equation is given by 1×2 + 2x + 3 = 0.

The equation can be rewritten in the form of (x + p)2 + q = 0 by completing the square. In this case, p = -b/(2a) and q = c – b2/(4a).

Therefore, the equation can be rewritten as (x + (-2/1))2 + (3 – 4) = 0, which is equivalent to (x – 2)2 – 1 = 0.

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