Question 3

3.1 Solve for 𝑥 and 𝑦 in the following simultaneous equations. (6)

𝑥 + 𝑦 +2 = 0 and 𝑥² + 𝑦² = 4

3.2 Determine the nature of the roots of the quadratic equation a𝑥² + b𝑥 + c = 0 if the following conditions are given:

3.2.1 a < 0, b > 0 and c = 0 (2)

3.2.2 b² = ac and b ≠ 0 (2)

3.3 Determine for which value(s) of p will 2𝑥² + 4𝑥 + 4 – p² = 0 have no real solution.(4)

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