SOLUTION: In this question I need to use the “discriminant” to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: In this question I need to use the “discriminant” to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!      Log On


   

Question 144827: In this question I need to use the “discriminant” to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. I need help please!!
2. 2x2 + 5x + 5 = 0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

D=b%5E2-4ac Start with the discriminant formula


From 2x%5E2%2B5x%2B5 we can see that a=2, b=5, and c=5


D=%285%29%5E2-4%282%29%285%29 Plug in a=2, b=5, and c=5


D=25-4%282%29%285%29 Square 5 to get 25


D=25-40 Multiply 4%282%29%285%29 to get %288%29%285%29=40


D=-15 Subtract 40 from 25 to get -15


Since the discriminant is less than zero, this means that there are two complex solutions