NumericalModerate3 marks
Using properties of proportion solve for x, given: (√(5x) + √(2x - 6)) / (√(5x) - √(2x - 6)) = 4
Topic: Shares, dividend and return
Previous-year question practice database
Answer
Exam answer
x = 30
Explanation
√5x + √2x − 6 √5x − √2x − 6 = 4 √5x+√2x−6+√5x−√2x−6 √5x+√2x−6−√5x+√2x−6 = 4+1 4−1 Applying componendo and dividendo 2√5x 2√2x − 6 = Squaring both sides 5x 2x − 6 = 45x = 50x − 150 5x = 150 ∴ x = 30
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