Put in the - or + values for 4x and 7 is the first step in finding the number needed
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You need to add -22.
25
You would add 4.
To complete the square of x^2 + 6x + 17, you need to add (6/2)^2 = 9 to the expression. This is because half of the coefficient of x is 6/2 = 3, and squaring that gives you 9. So the completed square is x^2 + 6x + 9 + 17 = (x + 3)^2 + 17.
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)