# math

#### jack107

##### New member
What are the roots of the equation x[2]-7x+6=0?
what do they mean ''what are the roots"?

#### Denis

##### Senior Member
Are you a student attending math classes, or learning on your own?

#### mmm4444bot

##### Super Moderator
Staff member
What they're trying to ask for are the solutions to that equation.

Any value of x that causes the quadratic polynomial x^2 - 7x + 6 to evaluate to zero is called a root of the polynomial.

In other words, what are the numbers to substitute for x so that the polynomial equals 0 ?

Here's an example:

x^2 - 5x - 14

This quadratic polynomial has two different roots, and each one is a Real number.

The roots are -2 and 7.

In other words, x = -2 or x = 7 are the two solutions to the following equation.

x^2 - 5x - 14 = 0

The polynomial in your exercise is factorable. Set each factor equal to zero, and solve for x (see the "Zero Product Property" for more information on this method).

If you've learned how to use the Quadratic Formula, that's another way to find the roots of the polynomial.

Does any of this jog your memory?