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Pearson Edexcel IAL Mathematics D1.1.1 Algorithms & flow-chart implementation

Practise following a given flow chart accurately, recording table entries and deciding which starting values make an algorithm fail for a root.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • complete a flow-chart table from a given input and give the final output to the required accuracy
  • determine values of a that cannot locate the positive root of a stated equation

D1.1.1 - Algorithms and flow-chart implementation question 1

[Maximum number: 4]
Figure 2

Figure 2

An algorithm for finding the positive real root of the equation 8x4+5x−12=08 x^{4}+5 x-12=0 is described by the flow chart shown in Figure 2.

Question (a)

(a)

Use the flow chart, with a=1, to complete the table in the answer book, stating values to at least 6 decimal places. Give the final output correct to 5 decimal places.

Given that the value of the input a is a non-negative real number,

[ 4 ]

Question (b)

(b)

determine the set of values for a that cannot be used to find the positive real root of 8x4+5x−12=08 x^{4}+5 x-12=0 using this flow chart.

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