Write an equation of the quadratic function that has x-intercepts 5-i√2 and 5+i√2

f(x) = x² - 10x + 27

Step-by-step explanation:

Given the x- intercepts of f(x) are x = a and x = b, then the factors are

(x - a) and (x - b) and f(x) is the product of the factors, that is

f(x) = (x - a)(x - b)

Here the x- intercepts are 5 - i and 5 + i , thus the factors are

(x - (5 - i )) and (x - (5 + i )) , that is

(x - 5 + i) and (x - 5 - i , then

f(x) = (x - 5 + i )(x - 5 - i ) ← expand using FOIL

     = (x - 5)² - 2i² ← i² = - 1

     = x² - 10x + 25 + 2

     = x² - 10x + 27

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step-by-step explanation:

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00