QUADRATIC EQUATION
Direction: Determine the discriminant of 12x²-4x+3=0 and the nature of roots.
Final Answer:
Discriminant: -128
Nature of roots: Not Real
Step-by-step explanation:
12x² - 4x + 3 = 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} {b}^{2} - 4ac \\ {(-4)}^{2} - 4(12)(3) \\ 16 - 144 \\ -128\end{gathered} \end{gathered} [/tex]
Thus, the discriminant is -128 and the nature of roots is not real.
