Solve x for (x-2)²-6x=1

x ≈ 9.69, 0.31

Step-by-step explanation:

Given:

(x - 2)² - 6x = 1

We'll expand the squared binomial on the left:

x² - 4x + 4 - 6x = 1

Group like terms:

x² - 10x + 4 = 1

Complete the square by adding 21 to both sides:

x² - 10x + 25 = 22

(x - 5)² = 22

And solve for x:

x - 5 = √22

x = 5 ± √22

x ≈ 9.69, 0.31

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour