Home › TS EAPCET (Engineering) › Mathematics › Quadratic Equation › What kind of roots does x² + x + 1 = 0 have?
What kind of roots does x² + x + 1 = 0 have?
ATwo distinct real roots
BTwo equal rational roots
CTwo non-real complex roots
DOne repeated real root
Answer & Solution
Correct answer: C. Two non-real complex roots
The discriminant is 1 − 4 = −3, which is negative, so the roots are a pair of complex conjugates.
Related questions
When the discriminant is zero, the two roots of a real quadratic areWhich is the quadratic coefficient in 5x² − 3x + 8 = 0?Subtracting two nearly equal numbers in the quadratic formula causesThe vertex x-coordinate of a parabola equals the mean of itsFinding the half-angle cosine from a known cosine involves solving aCritical points of a cubic function are found by solving aDescartes' theorem on four kissing circles gives their radii aConic sections such as the circle are all described by