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South African CAPS Curriculum · Grade 8–12

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Maths AI Tutor

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Can you explain how to solve a quadratic equation?
Of course! A quadratic equation has the form ax² + bx + c = 0. You can solve it using the quadratic formula: x = (−b ± √(b²−4ac)) / 2a. Let's work through an example together — what values do you have?
x² + 5x + 6 = 0
Great! Here a=1, b=5, c=6. Using the formula: x = (−5 ± √(25−24)) / 2 = (−5 ± 1) / 2. So x = −2 or x = −3. You can verify by factoring: (x+2)(x+3) = 0 ✓
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Mathematics Paper 1 — Grade 12

NSC November 2023 · 150 marks · 3 hours

⏱ 02:47:33

Section A — Question 1

1.1 Solve for x, correct to TWO decimal places where necessary:

1.1.1 x² − 5x + 6 = 0 (3)
1.1.2 2x² + 3x − 2 = 0 (4)
1.1.3 x(x − 1) = 6 (4)
Question 1 of 12

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