Question

what is the discriminant of the quadratic equation (4x^2 - 5x - 8 = 0)?

a -103
b 153
c 103
d -153

Explanation:

Identificar los coeficientes de la ecuación cuadrática

$$ a = 4, \quad b = -5, \quad c = -8 $$

Aplicar la fórmula del discriminante

$$ \Delta = b^2 - 4ac $$

Calcular el valor numérico

$$ \Delta = (-5)^2 - 4(4)(-8) = 25 + 128 = 153 $$

Answer:

• A -103
• B 153 (Correct answer)
• C 103
• D -153