The number that should be added to both sides of the equation such that the equation has a complete square is 3.5².
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The number that should be added to both the sides of the equation such that the equation has a complete square can be found by squaring the half of the coefficient of x. Therefore, we can write,
[tex](\dfrac72)^2 = 3.5^2[/tex]
Now, add it to both the sides of the equation we will get,
[tex]x^2+7x=4\\\\x^2+7x+3.5^2=4+3.5^2\\\\(x+3.5)^2 = 4+ 12.25\\\\(x+3.5)^2=16.25[/tex]
Thus, the number that should be added to both sides of the equation such that the equation has a complete square is 3.5².
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