Multiple choice

The roots of quadratic equation are: $\displaystyle { y }^{ 2 }+y+2=0$

  1. Real roots

  2. Irrational

  3. Imaginary(non real)

  4. None
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For y^2 + y + 2 = 0, the discriminant D = b^2 - 4ac = 1^2 - 4(1)(2) = 1 - 8 = -7. Since the discriminant is negative, the roots are imaginary.

AI explanation

The nature of the roots is determined by the discriminant, calculated as D = b^2 - 4ac. For the equation y^2 + y + 2 = 0, the discriminant is 1^2 - 4(1)(2) = 1 - 8 = -7. Because the discriminant is less than zero, the quadratic equation has imaginary or non-real roots.

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