its 1/4
(x-1/2)²= x²-21/2x+1/4= x²-x+1/4
for -Apex
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 ).
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 + 26x + 33), we need to focus on the (x^2 + 26x) part. We take half of the coefficient of (x), which is (26), giving us (13), and then square it to get (169). Therefore, the number that completes the square is (169). The full expression can be rewritten as ((x + 13)^2 - 136) after adjusting for the added square.
49-apex
-7
Adding 100 completes the square. { I wonder why you want to complete the square when the expression already factors as x(x-20) }.
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).
-3
144
49-apex
-7
49/4 or 12.25
An expression such as root(3) + 2 (square root of 3, added to 2) can not be simplified. Of course, you can convert the square root to a decimal and then add, to get an approximate result.
To complete the square for the expression (x^2 + 12x - 6), we need to focus on the (x^2 + 12x) part. We take half of the coefficient of (x) (which is 12), square it, and add it to both sides. Half of 12 is 6, and squaring it gives us 36. Therefore, we must add 36 to both sides of the equation.
10 + n
X+-7
9