Question

Which value of k will make x^2-1/4x+k a perfect square trinomial

Answer 1

`x^2- (1)/(4) x+k`

To make the expression a perfect square, we always add
`( (b)/(2) )^2`:


`k = ((1)/(4) / 2)^2`


`k = ((1)/(4) * (1)/(2) )^2`


`k = ((1)/(8) )^2`


`k = (1)/(64)`

Answer 2

1/64

Your square will be (x - 1/8)^2 which evaluates to x^2 - 1/4x + 1/64.