Question

Find the zeros of the function f(x)=-5x+4x-1 by completing the square.

(Leave in fraction form if necessary)"

A) 1/5
B) -1/5
C) 1/4
D) -1/4

Answer 1

To find the zeros of the function f(x)=-5x+4x-1 by completing the square, we can use the quadratic formula to calculate the zeros: x = (1 ± √5) / 2.

Step-by-step explanation:

To find the zeros of the function f(x)=-5x+4x-1 by completing the square, we can rearrange the equation to the form ax² + bx + c = 0. In this case, a = 1, b = -1, and c = -1. Using the quadratic formula, we can calculate the zeros:

x = (-b ± √(b² - 4ac)) / (2a)

Substituting the values, we get:
x = (-(-1) ± √((-1)² - 4(1)(-1))) / (2(1))
x = (1 ± √(1 + 4)) / 2
x = (1 ± √5) / 2