The square root of 150 will be between 12 and 13, closer to 12.
To the nearest integer, 9.
y2 = 55 to the nearest integer => y2 = 55 (55 IS the nearest integer) So y = sqrt(55) = ± 7.416 (to 3 dp).
That has no integer solution. Three times an integer is another integer; if you subtract to integers, you get an integer again, not a fraction.
The solution set is x = 5n + 3 where n is any integer.
46.0
The equation ( x = 14 ) identifies a single integer solution, which is ( x = 14 ) itself. Since the equation specifies that ( x ) is equal to 14, there are no other integer solutions. Therefore, the only integer solution is ( {14} ).
There is no integer solution. Quadratic formula gives x = -17.66 or 5.66
k = sqrt(160) = 12.6
yes
Negative.
A negative integer. Every time.
Closure of the set of integers under addition.