Write the Discriminant of the Quadratic Equation x² + 2x + 4 = 0
Question
Write the discriminant of the following quadratic equation:
\[ x^2+2x+4=0 \]Solution
\[ a=1,\quad b=2,\quad c=4 \]
Using the formula,
\[ D=b^2-4ac \]
Substituting the values,
\[ D=(2)^2-4(1)(4) \]
\[ D=4-16 \]
\[ D=-12 \]
Answer
\[
\boxed{D=-12}
\]