4MA1/2H Jan 2020, Question 16: Rearranging Formulas
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Rearrange y = √((x + 1)/(x − 4)) to make x the subject, showing the algebraic steps.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1y = sqrt((x + 1)/(x − 4))
- 2y² = (x + 1)/(x − 4)
- 3y²(x − 4) = x + 1
- 4y² x − 4y² = x + 1
- 5y² x − x = 4y² + 1
- 6x(y² − 1) = 4y² + 1
- 7x = (4y² + 1)/(y² − 1)
Answerx = (4y² + 1)/(y² − 1)
Stuck on a step? Read the free lesson: Rearranging Formulas
Practise more rearranging formulas questions
Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on rearranging formulas
Also searched as: 4MA1 2H January 2020 · 4MA1/2H · 4ma1 jan20 2h · question 16.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.