SOLUTION: Determine the type of number(s) that the solutions of x^2-2x+5=0 will be: a) one real b) two real c) two non-real d) no solution

Question 136722: Determine the type of number(s) that the solutions of x^2-2x+5=0 will be:
a) one real
b) two real
c) two non-real
d) no solution

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
is the quadratic formula. The part under the radical, is called the discriminant.

If , then you have two real and unequal roots.

If , then you have two real and equal roots. Also described as one real root with a multiplicity of 2.

If , then you have a conjugate pair of complex roots of the form where is the imaginary number defined as .
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