Try the Free Math Solver or Scroll down to Tutorials!

Enter expression, e.g. (x^2-y^2)/(x-y)

Enter expression, e.g. x^2+5x+6

Enter expression, e.g. (x+1)^3

Enter a set of expressions, e.g. ab^2,a^2b

Enter equation to solve, e.g. 2x+3=4

Enter equation to graph, e.g. y=3x^2-1

Depdendent Variable

Number of equations to solve:

Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

Solve for:

Enter inequality to solve, e.g. 2x+3>4

Enter inequality to graph, e.g. y<3x^2-1

Dependent Variable

Number of inequalities to solve:

Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

Ineq. #8:

Ineq. #9:

Solve for:

Math solver on your site

Please use this form if you would like
to have this math solver on your website,
free of charge.

Name:

Email:

Your Website:

Msg:

Quadratic Equations

Most text books provide a nice proof of the quadratic formula. To derive the two
solutions for any quadratic equation we simply solve by completing the
square. This guide will focus on using the formula to solve problems.

Quadratic Formula: If

where a≠0 then

	Solve:
Step 1: Identify a, b and c.
Step 2: Write down the formula.		Step 3: Plug in the appropriate values and evaluate.

The argument of the square root is called the discriminant and can be used to
determine the number and type of solutions to the quadratic equation without doing all
the work to find the actual solutions.

Using the discriminant to determine the types of solutions -
If

<0(negative) then there are two nonreal complex solutions
If

= 0(zero) then there is one real solution
If

>0 If (positive) then there are two real solutions

In the last problem and we got two real solutions.

A. Use the Discriminant to determine the number and type of solutions.

B. Solve using the quadratic formula.

If the discriminant is a perfect square then the quadratic was factorable. In this case, it is
usually faster to solve by factoring and should be done that way unless stated otherwise.

C. Solve using the quadratic formula.