Question

determine the discriminant of the quadratic equation

\\x^2 - 8x + 9 = 0\\

discriminant =

Explanation:

⚡ Using what you learned: quadratic formula and its applications

Step 1: Identify coefficients

Identify the values of \( a \), \( b \), and \( c \) from the standard form \( ax^2 + bx + c = 0 \):

$$ a = 1, \quad b = -8, \quad c = 9 $$

Step 2: Calculate the discriminant

Evaluate the discriminant formula \( D = b^2 - 4ac \):

$$ D = (-8)^2 - 4(1)(9) $$

$$ D = 64 - 36 $$

$$ D = 28 $$

Answer:

28