NumericalModerate3 marks
Using componendo and dividendo solve for x : (√(2x + 2) + √(2x - 1)) / (√(2x + 2) - √(2x - 1)) = 3.
Topic: Shares, dividend and return
Previous-year question practice database
Answer
Solution diagram
Exam answer
x = 1
Explanation
By componendo and dividendo, from (A+B)/(A−B)=3 obtain A/B=2, where A=√(2x+2), B=√(2x−1). Squaring: 2x+2=4(2x−1) ⇒ x=1.
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