Tiger Algebra Calculator

Like factoring (solver coming soon) and the quadratic formula, completing the square is a method used to solve quadratic equations.
The standard form of a quadratic equation is $$a{x}^2+bx+c=0$$ , in which $$a$$, $$b$$ and $$c$$ represent the coefficients and $$x$$ represents an unknown variable.
To complete the square, we first turn the quadratic equation into a perfect square trinomial (described below) and then solve to find its square root.

So, what exactly is a perfect square trinomial? If a perfect square is the product of a number or expression that is multiplied by itself, such as $$9$$, which is the product of $$3·3$$, and a trinomial is an algebraic expression with three terms, such as $$2x^2+4x–7$$, then it is safe to assume a perfect square trinomial would be an algebraic expression with three terms that is also the product of a binomial multiplied by itself, such as $$\left(x+4\right)·\left(x+4\right)=x^2+8x+16$$.

It is important to note that if the second term of the equation, $$bx$$, is missing, then we cannot complete the square and need to use another method, such as the quadratic formula, to solve the equation.

Enter your quadratic equation into Tiger’s calculator and the step-by-step solution will help you understand how to solve quadratic equations by completing the square.