![]() Add and subtract (b/2a) 2 after the 'x' term and simplify.Ĭompleting the square formula is a technique or method to convert a quadratic polynomial or equation into a perfect square with some additional constant.Note: To complete the square in an expression ax 2 + bx + c Step 5: Simplify the last two numbers.Step 4: Factorize the perfect square trinomial formed by the first 3 terms using the identity x 2 + 2xy + y 2 = (x + y) 2.Step 3: Add and subtract the above number after the x term in the expression whose coefficient of x 2 is 1.Step 2: Find the square of the above number.Step 1: Find half of the coefficient of x.If the coefficient of x 2 is NOT 1, we will place the number outside as a common factor. Now that we have gone through the steps of completing the square in the above section, let us learn how to apply the completing the square method using an example.Įxample: Complete the square in the expression -4x 2 - 8x - 12.įirst, we should make sure that the coefficient of x 2 is '1'. How to Apply Completing the Square Method? Step 5: Factorize the polynomial and apply the algebraic identity x 2 + 2xy + y 2 = (x + y) 2 (or) x 2 - 2xy + y 2 = (x - y) 2 to complete the square.Step 4: Add and subtract the square obtained in step 2 to the x 2 term.Step 3: Take the square of the number obtained in step 1. ![]()
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