Question

Find the complex roots of the function f(x)=x²−169.

A) ±13
B) ±10
C) ±√169
D) ±169

Answer 1

The complex roots of the function f(x) = x² - 169 are ±13.

Step-by-step explanation:

To find the complex roots of the function f(x) = x² - 169, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions are given by:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 1, b = 0, and c = -169. Substituting these values into the quadratic formula, we get:

x = (±√(0² - 4(1)(-169))) / (2(1))

x = (±√(0 + 676)) / 2

x = (±√676) / 2

x = ±26 / 2

x = ±13