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