SOLUTION: Can anyone help me with this one? It requires me to determine the number of solutions and classify the type of solutions for each of the following equations? Justify the answer ple

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Can anyone help me with this one? It requires me to determine the number of solutions and classify the type of solutions for each of the following equations? Justify the answer ple      Log On


   

Question 199572: Can anyone help me with this one? It requires me to determine the number of solutions and classify the type of solutions for each of the following equations? Justify the answer please?
2x^2-3x+7=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

From 2x%5E2-3x%2B7 we can see that a=2, b=-3, and c=7


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


D=%28-3%29%5E2-4%282%29%287%29 Plug in a=2, b=-3, and c=7


D=9-4%282%29%287%29 Square -3 to get 9


D=9-56 Multiply 4%282%29%287%29 to get %288%29%287%29=56


D=-47 Subtract 56 from 9 to get -47


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


In other words, there are no real solutions.