Solve for f.f2–8f–9=0Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.

The equation you provided is a quadratic equation. The general form of a quadratic equation is ax^2 + bx + c = 0. In this case, a = 1 (coefficient of f^2), b = -8 (coefficient of f), and c = -9.

The solutions to a quadratic equation can be found using the quadratic formula, which is:

f = [-b ± sqrt(b^2 - 4ac)] / (2a)

Substituting the values of a, b, and c into the formula, we get:

f = [8 ± sqrt((-8)^2 - 41(-9))] / (2*1) f = [8 ± sqrt(64 + 36)] / 2 f = [8 ± sqrt(100)] / 2 f = [8 ± 10] / 2

This gives us two solutions:

f = (8 + 10) / 2 = 18 / 2 = 9 f = (8 - 10) / 2 = -2 / 2 = -1

So, the solutions to the equation f^2 - 8f - 9 = 0 are f = 9 and f = -1.