Question

What is the missing constant term in the perfect square that starts with x^2+10x

Answer 1

Answer:

25.

Step-by-step explanation:

If an expression is  

$x^2+bx$

then we have to add $(\frac{b}{2})^2$, to make it perfect quare.

The given expression is

$x^2+10x$

Here, b=10.

$(\frac{b}{2})^2=(\frac{10}{2})^2=5^2=25$

Now,

$x^2+10x+25=x^2+2x(5)+5^2=(x+5)^2$

Therefore, we need to add 25 to make it perfect square.