SOLUTION: Determine the nature of the solutions of the equation. x^2-2x+5=0 The equation has A. Two non-real numbers. B. Two real solutions. C. One real solution.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Determine the nature of the solutions of the equation. x^2-2x+5=0 The equation has A. Two non-real numbers. B. Two real solutions. C. One real solution.       Log On


   

Question 473954: Determine the nature of the solutions of the equation.
x^2-2x+5=0
The equation has
A. Two non-real numbers.
B. Two real solutions.
C. One real solution.
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
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the discriminant
D=b%5E2-4ac
x%5E2-2x%2B5=0
a=1, b=-2, c=5
D=%28-2%29%5E2-4%2A1%2A5=-16%3C0
the discriminant <0, so the equation has two non-real numbers
Answer A. Two non-real numbers.