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Completing the Square Calculator

Equation: Variable:

Hint: Selecting "AUTO" in the variable box will make the calculator automatically solve for the first variable it sees.

Quick-Start Guide

When you enter an equation into the calculator, the calculator will begin by expanding (simplifying) the problem. Next, it will attempt to solve the equation by using one or more of the following: addition, subtraction, division, factoring, and completing the square. Use the following rules to enter equations into the calculator.


Any lowercase letter may be used as a variable.


Exponents are supported on variables using the ^ (caret) symbol. For example, to express x2, enter x^2. Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not be placed on numbers, brackets, or parentheses.

Parentheses and Brackets

Parentheses ( ) and brackets [ ] may be used to group terms as in a standard equation or expression.

Multiplication, Addition, and Subtraction

For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying parentheses, example: (x + 1)(x - 1).

Order of Operations

The calculator follows the standard order of operations taught by most algebra books - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. The only exception is that division is not supported; attempts to use the / symbol will result in an error.

Division, Square Root, Radicals, Fractions

The above features are not supported.


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