QUADRATIC EQUATION
Direction: Determine the discriminant of x²-8x-1=0 and the nature of roots.
Final Answer:
- Discriminant: 68
- Nature of roots: real, irrational, and unequal
Step-by-step explanation:
x² - 8x - 1 = 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 \\ {(-8)}^{2} - 4(1)(-1) \\ 64 + 4 \\ 68 \end{gathered} \end{gathered} \end{gathered} \end{gathered} [/tex]
Thus, the discriminant is 68 and the nature of roots is real, irrational, and unequal.
