Mathematics · Oct / Nov 2022 · Paper 22 · Question 23
0580
As printed in the paper
The question as text
Solve x x 1 4 2 5 2 3 + + - = . You must show all your working. x = or x = [7]
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
[0 =] 6x2 – 19x + 3 Correct method to solve their three term quadratic x = 3, x = 1 6 oe [16]
B5 B4 for 8x – 20 + 2x + 2 = 6x2 + 6x –15x – 15 or better OR
M2 for 4(2x – 5) + 2(x + 1) = 3(x + 1)(2x – 5) oe
or M1 for 4(2x – 5) + 2(x + 1) or better or common denominator (x + 1)(2x – 5) or better
B1 for 2x2 + 2x – 5x – 5 or better seen
M1 for correctly simplifying their quadratic to the form [0 =] ax2 + bx + c M1 e.g. (6x – 1)(x – 3) −− ( ) ± ( − ) 2 −×× 19 19 4 6 3 × 2 6 B1
Make a free account to save your answers and see your weak topics and ask the AI why a wrong answer is wrong.