There are missing + or - symbols, but the square is completed in this case by dividing the coefficient of the x term by 2, giving:
(x ± 2)2 = x2 ±4x + 4
So to get to the original equation, there is needed an extra +1 or -9:
(x ± 2)2 +1 = x2 ±4x +5
(x ± 2)2 - 9 = x2 ±4x - 5
Depending upon what the missing (+-) symbols are. (Whatever the sign before the 4x, the same is used in the brackets of the square.)
-3
144
-7
49/4 or 12.25
To complete the square for the expression (x^2 + 9x), take half of the coefficient of (x) (which is 9), square it, and add that value. Half of 9 is (4.5), and squaring it gives (20.25). Therefore, the number that must be added is (20.25). Thus, the completed square form is ((x + 4.5)^2).
To complete the square for the expression ( x^2 + 8x ), first take half of the coefficient of ( x ) (which is 8), square it, and add it. Half of 8 is 4, and squaring it gives ( 4^2 = 16 ). Therefore, the number that must be added to ( x^2 + 8x ) to complete the square is 16. Thus, the completed square form is ( (x + 4)^2 ).
9
Adding 100 completes the square. { I wonder why you want to complete the square when the expression already factors as x(x-20) }.
369 must be added to get 518
Decomposers must be added to any food chain or food web to form a complete food cycle.
9
26