Question

Plzz explain completing the square method

Answer 1

Completing The Square
The method of converting a quadratic equation which is not a perfect square into the sum or difference of a perfect square and a constant by adding or subtracting the suitable constant terms.

Steps involved in solving quadratic equation by using completing the square:

Consider the quadratic equation .

Step 1: Check whether the coefficient of x2, a is 1 or other than 1.

Step 2: If , then make it as 1 by dividing each side by a.

Step 3: Move the constant term to the right side of the quadratic equation.

Step 4: Take one-half of the coefficient of x and square it.

Step 5: Add the result obtained in Step 4 to both sides of the equation and complete the square.

Step 6: Express the terms in the left side of the equation as a square.

Step 7: Simplify the terms in the right side of the equation.

Step 8: Equate the result of Step 6 with the result of Step 7.

Step 9: Solve the final equation obtained in Step 8 and obtain the required roots.