# Taking Square Roots Exercises

### Example 1

Solve or determine that the equation has no real number solutions:

*y*^{2} = 16

### Example 2

Solve or determine that the equation has no real number solutions:

7*x*^{2} = 63

### Example 3

Solve or determine that the equation has no real number solutions:

(*x* – 2)^{2} + 16 = 0

### Example 4

Solve or determine that the equation has no real number solutions:

4(*x* + 1)^{2} = 36

### Example 5

Solve or determine that the equation has no real number solutions:

### Example 6

Solve or determine that the equation has no real number solutions:

3*x*^{2} – 7 = 11

### Example 7

Solve or determine that the equation has no real number solutions:

(2*x* + 5)^{2} = 36

### Example 8

Solve or determine that the equation has no real number solutions:

3*x*^{2} = 4

### Example 9

Solve or determine that the equation has no real number solutions:

*x*^{2} + 6*x* + 9 = 100

### Example 10

Solve or determine that the equation has no real number solutions:

4*x*^{2} + 12*x* + 9 = 20