SOLUTION:
We want to know the number that must be added to the equation to complete the square;
[tex]x^2+10x=14[/tex]
So the steps for completing the square is to add to both sides, the square of half of the coefficient of the first power.
So for;
[tex]\begin{gathered} ax^2+bx+c=0 \\ we\text{ }add\text{ }(\frac{b}{2a})^2\text{ }to\text{ both sides} \end{gathered}[/tex]
Since we have; a = 1 and b = 10; thus, we have to add;
[tex](\frac{10}{1})^2=5^2=25[/tex]
Therefore, we add 25 to both sides.
