Gce Model Questions Vol1 2018 Mathematics Question 3

Practice essay / theory question 3 from the 2018 Gce Model Questions Vol1 Mathematics examination. This question covers Indices, Logarithms, Surds .

Gce Model Questions Vol1 2018 Mathematics Essay / Theory

Topics: Indices Logarithms Surds

Question 3 GCE_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • essay

A researcher is analysing two positive quantities a and b that are expressed using indices and surds. The quantities satisfy a + b = 10 and a \times b = 12.

Question Parts

( a )

Show that a and b are the roots of a quadratic equation and find their exact values in simplest surd form.

( b )

If a can be written in the form 2^{x} where x is a real number, determine x in exact logarithmic form.

( c )

If b can be written as \sqrt{3^{y}} where y is an integer, determine the value of y.

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About This Question

This is Gce Model Questions Vol1 2018 Mathematics Question 3. It is one of the essay questions from the 2018 Gce Model Questions Vol1 Mathematics examination.

The question covers Indices, Logarithms, Surds .

View More Gce Model Questions Vol1 2018 Mathematics Questions More Gce Model Questions Vol1 Practice Questions Back to Questions

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