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13 (a) 2a = \sqrt{b} where b is a positive integer from 8 to 17 - OCR - GCSE Maths - Question 13 - 2023 - Paper 3

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13-(a)-2a-=-\sqrt{b}-where-b-is-a-positive-integer-from-8-to-17-OCR-GCSE Maths-Question 13-2023-Paper 3.png

13 (a) 2a = \sqrt{b} where b is a positive integer from 8 to 17. Given that a is a positive integer, find its value. You must show your working. (b) How would your... show full transcript

Worked Solution & Example Answer:13 (a) 2a = \sqrt{b} where b is a positive integer from 8 to 17 - OCR - GCSE Maths - Question 13 - 2023 - Paper 3

Step 1

(a) Find the value of a

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Answer

Step 2

(b) Change in answer if a is described as an integer

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Answer

If a were described simply as an integer without the restriction of being a positive integer, we would still find that the only integer value that satisfies the original equation occurs at b = 16, resulting in:

a=2a = 2

However, having a just as an integer could theoretically allow for negative or zero values, but in the context of the given range for b (from 8 to 17), the equivalent value would still yield:

a=2a = 2

Thus, the answer remains unchanged.

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