### Home > CCA2 > Chapter 8 > Lesson 8.3.3 > Problem8-172

8-172.

Decide which of the following equations have real roots, and which have complex roots without completely solving them.

Think about the graph of each given function. Are there any $x$-intercepts?

1. $y = x^2 - 6$

real

1. $y = x^2 + 6$

complex

1. $y = x^2 - 2x + 10$

complex

1. $y = x^2 - 2x − 10$

real

1. $y = (x - 3)^2 - 4$

real

1. $y = (x - 3)^2 + 4$

complex