Write the Discriminant of the Quadratic Equation 2x² − 5x + 3 = 0
Question
Write the discriminant of the following quadratic equation:
\[ 2x^2-5x+3=0 \]Solution
\[ a=2,\quad b=-5,\quad c=3 \]
Using the formula,
\[ D=b^2-4ac \]
Substituting the values,
\[ D=(-5)^2-4(2)(3) \]
\[ D=25-24 \]
\[ D=1 \]
Answer
\[
\boxed{D=1}
\]