Roots of quadratic equations, common root, proof, cubic, C1.

[STEP III 2010 Question 4 (Pure)]

Square and cube roots, distinct real solutions to equations, C1.

[STEP I 2009 Question 3 (Pure)]

Roots, determinant, necessary and sufficient, cubic equations, C1.

[STEP I 2006 Question 3 (Pure)]

Regions, inequality, roots.

[STEP III 2001 Question 3 (Pure)]

Linear combination, algebra, C1.

[STEP II 1991 Question 1 (Pure)]