O-LevelAdditional MathematicsQuadratic functions4037/12 · Oct/Nov 2020 · Q14 Marks
The curve y = 2x²+k+4 intersects the straight line y = (k+4)x at two distinct points. Find the possible values of k.
- The curve y = 2x²+k+4 intersects the straight line y = (k+4)x at two distinct points. Find the possible values of k.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- B1 For 2x² - (k+4)x+(k+4) (= 0) or 2x² + (-k-4)x+(k+4) (=0)
- M1 Use of discriminant to obtain 2 critical values using their 3 term quadratic
- A1 For critical values
- A1 k<-4 k>4
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