Question 1177234
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The discriminant of the equation   d = b^2 - 4ac = (-2)^2 + 4*1*(-1) = 4 + 4 = 8    is a positive real number,


so the roots are real numbers.



Next,  according to the  Vieta's theorem,  the product of the roots is equal to the constant term,  which is  -1  in this case,


so the roots are of opposite signs:  one root is a positive real number,  while another root is a negative real number.



That's all.



Solved,  answered,  explained and completed.