QUADRATIC EQUATION
Direction: Determine the discriminant of 4x²-12x+9=0 and the nature of roots.
Final Answer:
- Discriminant: 0
- Nature of roots: Real and equal
Step-by-step explanation:
4x² - 12x + 9 = 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 \\ {(-12)}^{2} - 4(4)(9) \\ 144 - 144 \\ 0 \end{gathered} \end{gathered} \end{gathered} \end{gathered} [/tex]
Thus, the discriminant is 0 and the nature of roots is real and equal.
