Multiple choice

Determine the type of roots of the equation x2 - 4x + 3 = 0.

  1. Real and different

  2. Imaginary

  3. Real and unequal

  4. Cannot be determined
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C Correct answer
AI explanation

The nature of the roots is determined by the discriminant, calculated as D = b2 - 4ac. For the equation x2 - 4x + 3 = 0, the discriminant is (-4)2 - 4(1)(3) = 16 - 12 = 4. Since the discriminant is positive, the equation has real and unequal roots. The result is real and unequal.

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