If a function has a discriminant of 25, how many solutions does it have?

With a discriminant of 25, the function has two solutions,

+5 and - 5.

Step-by-step explanation:

Consider the solutions to the quadratic equation:

ax² + bx + c = 0

The solution, which is the quadratic formula:

x = [-b ± √ (b² - 4ac) ]/2a

The value

D = b² - 4ac

is called the discriminant.

If a function has a discriminant of 25, note that in the quadratic formula, we have

D = b² - 4ac = 25

√D = ±√25 = ±5

This means there would be two solutions for the quadratic equation.