Additional Mathematics – Quadratic functions | e-Consult
Quadratic functions (1 questions)
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Quadratic formula: x = [−b ± √(b² − 4ac)] / (2a) where a = 3, b = 4, c = −7.
- Calculate the discriminant: Δ = b² − 4ac = 4² − 4·3·(−7) = 16 + 84 = 100.
- Since Δ > 0, two real roots exist.
- Compute the roots:
- x₁ = [−4 + √100] / (2·3) = [−4 + 10] / 6 = 6/6 = 1
- x₂ = [−4 − √100] / (2·3) = [−4 − 10] / 6 = −14/6 = −7/3
- Solutions: x = 1 and x = −7/3.