### Home > CCA2 > Chapter 10 > Lesson 10.1.1 > Problem 10-22

10-22.

For what values of *n* does the equation 2*x*^{2} + *nx* + 9 = 0 have exactly one root? Homework Help ✎

This equation can be solved using the Quadratic Formula.

When does the Quadratic Formula yield exactly one solution/root?

The Quadratic Formula yields exactly one solution when the value inside the square root is zero.

*b*^{2} − 4*ac* = 0 or in this case, *n*^{2} − 4(2)(9) = 0.

Solve for *n*.