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Here are two pieces of work - OCR - GCSE Maths - Question 13 - 2023 - Paper 4
Question 13
Here are two pieces of work. Each shows a question and the first line of an incorrect solution. For each part, describe the error made in the first line of the sol... show full transcript
Worked Solution & Example Answer:Here are two pieces of work - OCR - GCSE Maths - Question 13 - 2023 - Paper 4
Step 1
Describe the error made in the first line of the solution for part (a)
Answer
The error in the first line of the solution for part (a) lies in the incorrect interpretation of the simplification process. The student has attempted to combine the fractions without obtaining a common denominator. The correct approach would be to first express both fractions with a common denominator of ( (x-1)(x+4) ) before combining, which requires the numerators to be multiplied accordingly.
Step 2
Describe the error made in the first line of the solution for part (b)
Answer
In part (b), the error is in the application of the quadratic formula. The proposed simplification of the quadratic expression does not appropriately factor in the sign and coefficients correctly. Specifically, the term (7^2 - 4 \times 1 \times 5) is calculated correctly, but it must clearly reflect the structure of the quadratic formula, ensuring that each term is represented correctly in its entirety.