Question

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

Answer 1

25.

Explanation:

If an expression is

`x^2+bx`

then we have to add
`((b)/(2))^2`, to make it perfect quare.

The given expression is

`x^2+10x`

Here, b=10.

`((b)/(2))^2=((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.