Question

determine the discriminant of the quadratic equation below. use the value

\\25q^2 - 40q + 16 = 0\\

the value of the discriminant is

Explanation:

⚡ Using what you learned: quadratic formula and its applications

Step 1: Identify coefficients

Identify the coefficients \(a\), \(b\), and \(c\) from the standard form of the quadratic equation \(aq^2 + bq + c = 0\):

$$a = 25$$

$$b = -40$$

$$c = 16$$

Step 2: Calculate the discriminant

Substitute the values into the discriminant formula \(D = b^2 - 4ac\):

$$D = (-40)^2 - 4(25)(16)$$

$$D = 1600 - 1600$$

$$D = 0$$

Answer:

0