O-LevelAdditional MathematicsQuadratic functions4037/22 · Oct/Nov 2018 · Q76 Marks
Solve the quadratic equation (1-√3)x² + x + (1+√3) = 0, giving your answer in the form a+b√3, where a and b are constants.
- Solve the quadratic equation (1-√3)x² + x + (1+√3) = 0, giving your answer in the form a+b√3, where a and b are constants.[6]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- [B1] (1-√3)(1+√3)=-2
- [M1] uses quadratic formula
- [A1] x = (-1 ± √1 - 4(1-√3)(1+√3)) / (2(1-√3))
- [M1 Dep*] × numerator and denominator by their (1+√3)
- [A2] x=1+√3 or x = (1-√3)/2 A1 for each
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