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 solution. You do not need to complete the solution. (a) Question: Simplify: $$\frac{2}{x-1} + \frac{3}{x+4}$$ Solution: $$\frac{2}{x-1} + \frac{3}{x+4} = 2(\frac{1}{x-1}) + 3(\frac{1}{x+4})$$ (b) Question: Solve. $$x^2 + 7x + 5 = 0$$ Solution: $$x = \frac{7 \pm \sqrt{7^2 - 4 \times 1 \times 5}}{2 \times 1}$$

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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)

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Answer

In the first line of the solution for part (a), the error lies in the incorrect application of operations when combining the fractions. The correct approach to simplify the fractions requires a common denominator. The solution should have expressed the combined fractions as $\frac{2(x+4) + 3(x-1)}{(x-1)(x+4)}$ instead of trying to separate them incorrectly.

Step 2

Describe the error made in the first line of the solution for part (b)

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Answer

In part (b), the first line of the solution is correctly set up for using the quadratic formula; however, there are no errors given in calculations. The solution appears to be correctly stated, but it does not contain significant detail about ensuring that the quadratic formula is applied correctly. It might confuse a student since they are asked to describe errors and none are explicitly stated.

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