O-LevelAdditional MathematicsQuadratic functions4037/22 · May/June 2016 · Q14 Marks
Given that x² + 2kx + 4k − 3 = 0 has no real roots, show that k satisfies k² - 4k+3 < 0.
- (i)Given that x² + 2kx + 4k − 3 = 0 has no real roots, show that k satisfies k² - 4k+3 < 0.[2]
- (ii)Solve the inequality k² - 4k + 3 < 0.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.
- [M1] clear attempt at b² – 4ac
- [A1] Correct completion to given inequality k²-4k+3 < 0 isw
- [M1] Critical values 1 and 3 soi
- [A1] 1 < k < 3 as final answer
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 →