# Squares and Square Roots

# Quadratic Formula Exercises

### Example 1

For the following equation, solve using the quadratic formula or state that there are no real number solutions: 10*x*^{2} + 9*x* = 0.

### Example 2

For the following equation, solve using the quadratic formula or state that there are no real number solutions: 2*x*^{2} + 11*x* = 10.

### Example 3

For the following equation, solve using the quadratic formula or state that there are no real number solutions: 5*x*^{2} – 3*x* – 1 = 0.

### Example 4

For the following equation, solve using the quadratic formula or state that there are no real number solutions: *x*^{2} – 2*x* + 3 = 0.

### Example 5

For the following equation, solve using the quadratic formula or state that there are no real number solutions: *x*^{2} – 4*x* – 7 = 8.