Date | November 2016 | Marks available | 5 | Reference code | 16N.1.hl.TZ0.7 |
Level | HL only | Paper | 1 | Time zone | TZ0 |
Command term | Solve | Question number | 7 | Adapted from | N/A |
Question
Solve the equation 4x+2x+2=3.
Markscheme
attempt to form a quadratic in 2x M1
(2x)2+4∙2x−3=0 A1
2x=−4±√16+122 (=−2±√7) M1
2x=−2+√7 (as −2−√7<0) R1
x=log2(−2+√7) (x=ln(−2+√7)ln2) A1
Note: Award R0 A1 if final answer is x=log2(−2+√7).
[5 marks]
Examiners report
[N/A]