Solving a Quadratic Equation by Completing the Square

Tutoring on Solving a Quadratic Equation by Completing the Square

Learning Objectives:

Understand to Solve Quadratic Equations by Completing the Square

Solving a Quadratic Equation by Completing the Square

The basic form of a second degree equation is given by ax² + b x + c = 0. Where, a = coefficient of x², b = coefficient of x, c = constant and x is the variable. Quadratic equation is also called as second degree equation. A quadratic equation has two solutions either two distinct real solutions, one double real solution or two non-real solutions.  Completing the Square is a technique which is used to solve quadratic equations, graph quadratic functions, and evaluate integrals. This technique can be used when factoring a quadratic equation does not work or we need to find irrational and complex roots. To solve the quadratic equation we need to follow these steps.

Step 1: Divide all terms by a (the coefficient of x2). 

Step 2: Move the number term (c/a) to the right side of the equation.

Step 3: Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

 

Hook Questions

 

1.    What does completing the square mean?

2.    What is the quadratic equation?

 

 

 

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