Question

Please help me thank you in advance!

Answer 1

D)
`(x-4.5 )^(2) =16.25`

Explanation:

Explanation

Given that the equation

x² - 9 x +11 =7

`x^(2) -(9)/(2) (2x) +11=7`

`x^(2) -(9)/(2) (2x) +((9)/(2) )^(2) -((9)/(2)) ^(2)+ 11=7`

By using (a-b)² = a²-2ab+b²

`(x-(9)/(2) )^(2) -((9)/(2)) ^(2)+ 11=7`

`(x-(9)/(2) )^(2) -((9)/(2)) ^(2)+ 11-7=0`

`(x-(9)/(2) )^(2) -((81)/(4)) + 4=0`

`(x-(9)/(2) )^(2) +((-81+16)/(4)) =0`

`(x-4.5 )^(2) -16.25 =0`

Final answer:-

`(x-4.5 )^(2) =16.25`