a. By eliminating y from the equations x + y = 2 x 2 + xy
Question:
a. By eliminating y from the equations
x + y = 2
x2 + xy − y2 = −1
show that x2 − 6x + 3 = 0.
b. Hence, or otherwise solve the simultaneous equations
x + y = 2
x2 + xy − y2 = −1
giving x and y in the form a ± b√6, where a and b are integers.
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Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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