49 is the number to be added to both the sides of the equation to complete the square.
The equation given in the question is
Which can be written as [tex]x^{2} +2\times (7x)=-32[/tex]
We have to convert it into square form.
Since the standard form of the equation in square form is
(a + b)² = a² + 2ab + b²
By comparing this standard equation with the given equation,
a = x
&
b = 7
By substituting the values of 'a' and 'x' in the standard square form,
x² + 14x + 7² = -(32) + 7²
x² + 14x + 49 = -32 + 49
(x + 7)² = 17
Therefore, 49 should be added in both the sides of the equation in order to complete the square.
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