Solving a Quadratic Equation Using the Quadratic Formula

Tutoring on Solving a Quadratic Equation Using the Quadratic Formula

Learning Objectives:

Understand to Solve Quadratic Equations using Quadratic Formula

Math Tutoring on Solving a Quadratic Equation Using the Quadratic Formula

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. A 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. 

The Quadratic Formula: 
For 
ax2 + bx + c = 0, the value of is given by:

x = [-b+/-sqrt(b^2-4ac)]/2a

There are some quadratic equations that cannot be solved by factoring. But the Quadratic Formula will always give an answer, whether the quadratic is factorable or not. When using the Formula, not to omit the "±" sign and we have to be careful with the fraction line.

 

 

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Hook questions:

1. What is the square root property and what is it used for?

2. What is the square root method?  

3. What is the definition of the quadratic formula?

 

 

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