Question

Determine the nature of the roots of the given equation from their discriminants.

$y^2+6y+9=0$

• A. Real and unequal
• B. Real and equal
• C. Imaginary
• D. Data insufficient

Answer 1

Answer: (B)

Real and equal

Discriminant of the equation $y^2+6y+9=0$

$D=b^2-4ac$

$D=(6{)}^2-4\times 1\times 9$

$=36-36$

$=0$

Since, $D=0$ thus, roots are real and equal