Add 4 to both sides.
To complete the square, take half the x coefficient into the bracket:
(x + 4/2)2 = (x + 2)2
= x2 + 4x + 4
Comparing with the original, need to add 4 to both sides of x2 + 4x = 5:
(x2 + 4x) + 4 = (5) + 4
⇒ x2 + 4x + 4 = 9
⇒ (x + 2)2 = 9
9
Since there are only terms in x2 and constants, but none in x, completing the square is not an option! x2 - 14 = 7 x2 = 21 and so x2 = sqrt(21)
-7
x2+2x+1 = 0 (x+1)(x+1) = 0 x = -1 and also x = -1
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 ).
You must add 1
it is 121
4
You must add (17n + 144).
You must add 36 to complete the square on the left hand side.You must add 36 to complete the square on the left hand side.You must add 36 to complete the square on the left hand side.You must add 36 to complete the square on the left hand side.
You need to add -6
square root -5 minus 14 or - square root -5 minus 14
The constant term - the part without a variable - must be equal to the square of one half the linear term - the number in front of the "x". That is, it must be (12/2)2 = 36.
9
If: x^2 +18x = 29 Then completing the square: (x+9)^2 -81 = 29 or (x+9)^2 = 110
-3
144