Question

What constant would be added to the expression x2−7xx2−7x in order to make it a perfect square?

Answer 1

ok

assuming ya mean
`x^2-7x`
since the quadratic coefient is 1, take 1/2 of the liner coeficient and square it
the linear coefient is -7
half of that is -7/2
squared we get 49/4
add that to get

`x^2-7x+(49)/(4)`
it factors to

`(x-(7)/(2))(x-(7)/(2))` or
`(x-(7)/(2))^2`

you must add
`(49)/(4)` to make it a perfect square