The document contains 4 quadratic equations: 1) The roots of x^2 - 6x + 7 = h(2x - 3) are equal, find h. 2) One root of 2x^2 + 6x = 2k - 1 is twice the other, find k and the roots. 3) Solve 2x(x - 4) = (1 - x)(x + 2) to 4 significant figures. 4) The roots of x(x + 1) = px - 4 are distinct, find the range of p.

1. a) The equation x2– 6x + 7 = h(2x – 3) has roots which are equal.
Find the values of h
Persamaan x2– 6x + 7 = h(2x – 3) mempunyai dua punca
yang sama. Cari nilai h.
b) One of the roots of the equation 2x2+ 6x = 2k – 1 is twice the
other. Find the value of k and the roots of the equation.
Salah satu punca bagi persamaan 2x2+ 6x = 2k – 1 adalah
dua kali ganda daripada yang satu lagi. Cari nilai k dan
punca bagi persamaan tersebut.
c) Solve the quadratic equation 2x (x – 4) = (1 – x)(x + 2).
Give your answer correct to 4 significant figures.
Selesaikan persamaan quadratik 2x (x – 4) = (1 – x)(x + 2).
d) The quadratic equation x (x+1) = px -4 has two distinct roots.
Find the range of values of p.
Persamaan quadratik x (x+1) = px -4 mempunyai dua
punca yang nyata. Cari julat bagi nilai p.