QUADRATIC EQUATION
Direction: Determine the discriminant of x²+x+7=0 and the nature of roots.
Final Answer:
- Discriminant: -27
- Nature of roots: Imaginary
Step-by-step explanation:
x² + x + 7 = 0
First, identify the value of a, b, and c.
Given:
Second, write the formula.
Formula to be used: [tex]\: \bold{ {b}^{2} - 4ac}[/tex]
Lastly, solve using the formula then identify its nature of roots.
[tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} {b}^{2} - 4ac \\ {(1)}^{2} - 4(1)(7) \\ 1 - 28 \\ -27 \end{gathered} \end{gathered} \end{gathered} \end{gathered} [/tex]
Thus, the discriminant is -27 and the nature of roots is imaginary.
