Question

How do you solve the equation `4x^2-28x+49=5` by completing the square?

Answer 1

`4(x^2-7x + (7/2)^2 )=5-49+4(7/2)^2`

`4(x-7/2)^2=5`

`(2x - 7)^2 = 5`

`x = 1/2 ( 7 pm sqrt{5} )`