For positive numbers, how is applying the greatest integer function different from the method of rounding to the nearest whole number?

For all real numbers, x, the greatest integer function returns the largest integer

less than or equal to x. In essence, it rounds down a real number to the nearest integer.

Hope this helps

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation:

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