Question

What number must you add to complete the square? x^2+10x=14A) 5B) 25C) 20D) 10

Answer 1

We want to know the number that must be added to the equation to complete the square;

`x^2+10x=14`

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;

`\begin{gathered} ax^2+bx+c=0 \\ we\text{ }add\text{ }((b)/(2a))^2\text{ }to\text{ both sides} \end{gathered}`

Since we have; a = 1 and b = 10; thus, we have to add;

`((10)/(1))^2=5^2=25`

Therefore, we add 25 to both sides.