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Algebraic Methods

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Question 224

A scientist models the intensity gain G G\,G of a signal passing through a specialized fiber-optic cable as a function of the input power xxx:

G=2+28x3+7x,x>0,x≠97 G = \frac{2 + \sqrt{28x}}{3 + \sqrt{7x}}, \quad x > 0, x \neq \frac{9}{7} G=3+7x​2+28x​​,x>0,x=79​

Show that G G\,G can be written in the form:

14x−6−47x7x−9 \frac{14x - 6 - 4\sqrt{7x}}{7x - 9} 7x−914x−6−47x​​
[5]
Markscheme

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

368 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.

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