SOLUTION: 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; ju

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Question 478945: 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 Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The discriminant is b%5E2-4ac
If the discriminant is 0, then the equation has a double solution, that is both solutions are identical and real. Many times this is called a "single" solution.
If the discriminant is positive, then the equation has two real solutions.
If the discriminant is negative, then the equation has two complex solutions.
2x%5E2-10x%2B25+=+0
The discriminant is:
%28-10%29%5E2-4%282%29%2825%29+=+100-200 = -100
The discriminant is negative so there are two complex solutions.