Algebra Examples

Find the discriminant for . In this case, .
Tap for more steps...
The discriminant of a quadratic is the expression inside the radical of the quadratic formula.
Substitute in the values of , , and .
Evaluate the result to find the discriminant.
Tap for more steps...
Simplify each term.
Tap for more steps...
Raise to the power of to get .
Multiply by to get .
Multiply by to get .
Subtract from to get .
Determine if the discriminant is a perfect square number.
Tap for more steps...
A perfect square number is an integer that is the square of another integer. , which is an integer number.
Since is the square of , it is a perfect square number.
is a perfect square number
is a perfect square number
The polynomial is not prime because the discriminant is a perfect square number.
Not prime
Enter YOUR Problem

Enter the email address associated with your Mathway account below and we'll send you a link to reset your password.

Please enter an email address
Please enter a valid email address
The email address you entered was not found in our system
The email address you entered is associated with a Facebook user
We're sorry, we were unable to process your request at this time
Mathway requires javascript and a modern browser.

Please Rate Your Tutor

Could not save your feedback. Please try again.

Please select a rating.

Thanks for your feedback!

  [ x 2     1 2     π     x d x   ]