maths 中5

y = x^2 - kx + k

y = -x + 17/4

So,x^2 - kx + k = -x + 17/4

x^2 + (1 - k)x + k - 17/4 = 0

As the roots are reciprocal

k - 17/4 = 1

k = 21/4

x^2 - (17/4)x + 1 = 0

4x^2 - 17x + 4 = 0

(4x - 1)(x - 4) = 0

x = 4 or 1/4

The values of y is 4 or 1/4