Question

Complete the square x^2+x+8x

Answer 1

`x^2+x+8x=(x+(9)/(2) )^2-(81)/(4)`

Explanation:

The given expression is
`x^2+x+8x`

To complete the square, we first simplify the function to get:

`x^2+9x`

Add and subtract the square of half the coefficient of x

`x^2+9x+((9)/(2) )^2-((9)/(2) )^2`

The first three term is a perfect square
`(x+(9)/(2) )^2-(81)/(4)`