A-LevelMathematicsComplex numbers9709/31 · Oct/Nov 2025 · Q65 Marks
Solve the quadratic equation (2+i)w²+4w+2-i = 0. Give your answers in the form x+iy, where x and y are real.
- (a)Solve the quadratic equation (2+i)w²+4w+2-i = 0. Give your answers in the form x+iy, where x and y are real.[5]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.
- [M1] Use quadratic formula to solve for w
- [M1] Use i² = -1
- [A1] Obtain one of the answers w= (-4-2i)/(4+2i) or w= (-4+2i)/(4+2i)
- [M1] Multiply numerator and denominator by conjugate of their denominator
- [A1] Obtain final answers -3/5 + 4/5i and -1 [+ 0i]
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →