Algebra Tutorials!

 Friday 20th of September

Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# Solving Quadratic Equations

Quadratic Equation in One Variable: ax2 + bx + c = 0, where a, b and c are real numbers with a 0. We will solve these equations by several methods.

## I. Solving Quadratic Equations by Factoring

The Zero Product Property: ab = 0 if and only if either a = 0 or b = 0 or both a and b equal zero.

## II. Graphical Solution

Once the equation is written in the form ax2 + bx + c = 0, we can graph the left side as y1 and find the x- intercepts. These x-intercepts or zeros of the function are the solutions to the quadratic equation ax2 + bx + c = 0.

## III. Square Root Property

The solution set of x2 = k is:

## IV. Using the Quadratic Formula to Solve Quadratic Equations

If ax2 + bx + c = 0,  a 0, then:

b2 - 4ac is called the discriminant of the quadratic equation.

DISCRIMINANT AND ROOTS

 If the discriminant is: Then the equation has: Positive Two real solutions Zero One real solution Negative No real solutions