QUESTION 04 The equation of a curve is \(y=(2k-3) x^2-kx-(k-2)\), where k is a constant. The line \(y=3x-4\) is...

QUESTION 05 Showing all necessary working, solve the equation \(4x-11x^{\frac 12}+6=0\). 🔍 Solution \begin{equation*} \begin{split} & \text{Solve the...

QUESTION 06 By using suitable substitution, solve the equation \((2x-3)^2- \dfrac {4}{(2x-3)^2} -3=0\). 🔍 Solution \begin{equation*} \begin{split} &...

QUESTION 07 The equation of a line is \(y=mx+c\), where m and c are constant, and the equation of...

QUESTION 08 (a) Find the values of the constant m for which the line y=mx is a tangent to...

QUESTION 01 (i) Express \(2x^2-10x+8\) in the form \(a(x+b)^2+c\), where a, b and c are constant and use your...

QUESTION 02 The function f is defined by \(f(x)=x^2-4x+8\) for \(x \in R\). (i) Express \(x^2-4x+8\) in the form...

QUESTION 03 (a) Express \(16x^2-24x+10\) in the form \((4x+a)^2+b\). (b) It is given that the equation \(16x^2-24x+10=k\), where...