1. When you have an equation in the form of ax² + bx + c = 0, the solution is x =     where D = b² – 4ac

2. D stands for discriminant, and values of x are the natural roots

a. If D > 0, then the values of x are real and distinct.

b. If D = 0, then the values of x are real and equal

c. If D < 0, then the values of x are unreal

3. In your question, x² – 7x + 2 = 0, so the values of a, b and c are as follows:

a. a = 1

b. b = -7

c. c = 2

4. D = b² – 4ac = 49 – 8 = 41      (this is the value of the discriminant)

5. Since D > 0, then the values of x (the natural roots) are real and distinct