Write the Discriminant of the Quadratic Equation x² − x + 1 = 0
Question
Write the discriminant of the following quadratic equation:
\[ x^2-x+1=0 \]Solution
\[ a=1,\quad b=-1,\quad c=1 \]
Using the formula,
\[ D=b^2-4ac \]
Substituting the values,
\[ D=(-1)^2-4(1)(1) \]
\[ D=1-4 \]
\[ D=-3 \]
Answer
\[
\boxed{D=-3}
\]