What number must be added to the expression below to complete the square ? x2+7x

llm

Answered on Wed Oct 19 2022

We have,

x² + 7x

Formula :

(a + b)² = a² + 2ab + b²

Here,

2ab = 7x

a = x

Then,

2x.b = 7x

b = 7x/2x

b = 7/2

So, b² = (7/2)²

= 49/4

Hence, 49/4 must be added to the expression to complete the square.