Question

For the following equation, state the value of the discriminant and then describe the nature of the solutions.
14x^2+2x+14=0
What is the value of the discriminant?
Which one of the statements below is correct?
a. The equation has two imaginary solutions.
b. The equation has two real solutions.
c. The equation has one real solution?

Answer 1

http://www.wolframalpha.com/input/?i=14x%5E2%2B2x%2B14%3D0

Answer 2

-2 (+/-) (4-784)*(1/2) -2 (+/-) (-780)*(1/2) -2 (+/-)2(-195)*(1/2)
x_1,_2 = --------------------- = ------------------- = --------------------
28 28 28

-2(1(+/-)(-195)*(1/2)) - (1(+/-)(-195)*(1/2)
= -------------------- = -------------------
28 14

a. is correct