SOLUTION: Please help me!!! I really need help! Use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It i

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please help me!!! I really need help! Use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It i      Log On


   

Question 36186: Please help me!!! I really need help! Use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.

2x^2 - 10x + 25 = 0
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
As I posted earlier on a similar problem, just calculate b%5E2+-+4ac, where in this case, 2x%5E2+-+10x+%2B+25+=+0, a =2, b= -10, and c= 25.

b%5E2+-+4ac
%28-10%29%5E2+-+4%2A2%2A25
100-200
-100

Since this discriminant is less than 0, there will be NO REAL solutions. The solutions will be complex. They will also always be conjugate pairs--no extra charge!

R^2 at SCC