Question

Arrange the steps in the order that is followed to solve quadratic equation by completing the square method.

• A. Make a=1
• B. Add and subtract$(\frac{b}{2a}{)}^2$
• C. Find the roots
• D. Complete square

Answer 1

Let's consider the general quadratic equation $a{x}^2+bx+c=0$ .

We follow the steps to solve this as below :

1. Make a=1 :

For that, divide both the sides of the equation by 'a'.

2. Add and subtract $(\frac{b}{2a}{)}^2$:

Do addition and subtraction of $(\frac{b}{2a}{)}^2$ on the left side of the equation.

3. Complete the square :

Manipulate the expression on the left side so that we should have square form (Algebraic identity form).

4. Find the roots:

Solve the simplified quadratic equation.