The roots of the equation x2 - x + 1 = 0 are
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imaginary and unequal
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real and unequal
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real and equal
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imaginary and equal
Reveal answer
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A
Correct answer
Explanation
For x^2 - x + 1 = 0, the discriminant D = b^2 - 4ac = (-1)^2 - 4(1)(1) = 1 - 4 = -3. Since the discriminant is negative, the roots are imaginary and unequal.
AI explanation
To determine the nature of the roots for x^2 - x + 1 = 0, we calculate the discriminant using the formula D = b^2 - 4ac. Substituting the values gives D = (-1)^2 - 4(1)(1) = 1 - 4 = -3. Since the discriminant is negative, the roots are imaginary, and because it is not equal to zero, they are unequal.