Multiple choice

Determine the nature of the roots of the given equation from their discriminants. $y^{2}\, +\, 6y\, +\, 9\, =\, 0$

  1. Real and unequal

  2. Real and equal 

  3. Imaginary 

  4. Data insufficient
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The discriminant D = b^2 - 4ac. For y^2 + 6y + 9 = 0, D = 6^2 - 4(1)(9) = 36 - 36 = 0. When D = 0, the roots are real and equal.

AI explanation

The discriminant formula is D equals b squared minus 4ac. For the equation y squared plus 6y plus 9 equals 0, the discriminant is 6 squared minus 4 times 1 times 9, which equals 36 minus 36, or 0. Since the discriminant equals zero, the roots are real and equal.

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