A-LevelMathematicsAlgebra9709/32 · May/June 2018 · Q14 Marks
Showing all necessary working, solve the equation 3|2x – 1| = 2x, giving your answers correct to 3 significant figures.
- Showing all necessary working, solve the equation 3|2x – 1| = 2x, giving your answers correct to 3 significant figures.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [M1] EITHER: State or imply non-modular equation 3(2x – 1)² = (2x)², or pair of equations 3(2x−1)=±2x
- [A1] Obtain 2x = 3/2 and 2x = 3/4 or equivalent
- [B1] OR: Obtain 2x = 3/2 by solving an equation
- [B1] Obtain 2x = 3/4 by solving an equation
- [M1] Use correct method for solving an equation of the form 2x = a, where a > 0
- [A1] Obtain final answers x = 0.585 and x = 0.415 only
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