-7
49-apex
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.
9 needs to be added to complete the square. When squaring (x + n), the result is x2 + 2nx + n2. We have +10x, so n must be 10/2 = 5. Thus: (x + 5)2 = x2 +10x + 25 = x2 +10x + 14 + 9 So 9 needs to be added to complete the square, giving: x2 +10x + 14 = (x + 5)2 - 9
Five.
Adding 100 completes the square. { I wonder why you want to complete the square when the expression already factors as x(x-20) }.
144
-3
49/4 or 12.25
-7
49-apex
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.
X+-7
10 + n
9
9 needs to be added to complete the square. When squaring (x + n), the result is x2 + 2nx + n2. We have +10x, so n must be 10/2 = 5. Thus: (x + 5)2 = x2 +10x + 25 = x2 +10x + 14 + 9 So 9 needs to be added to complete the square, giving: x2 +10x + 14 = (x + 5)2 - 9
Five.