How to find the absolute value of a complex number

A complex number is a number defined a where are both real numbers and comes from the solution of the equation . So the absolute value of a complex number is the distance between the origin and the point in the complex plane. So this can be expressed by the following formula:

For instance, for the complex number , the absolute value is:

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11