2.12.2 Quadratic Functions, SPM Practice (Paper 1)

Question 4:
If the roots of

2 x^{2} + 4 x - 1 = 0 are α and β,

find the equations whose roots are

\begin{array}{l} (a) α^{2}, β^{2} \\ (b) α - β, β - α \end{array}

Solution:

Question 5:
Write and simplify the equation whose roots are double the roots of

3 x^{2} - 5 x - 1 = 0

, without solving the given equation.

Solution:

Question 6:
Write and simplify the equation whose roots are the reciprocals of the roots of

3 x^{2} + 2 x - 1 = 0

, without solving the given equation.

Solution: