Given the simultaneous equations 2x y = 1, x 2 + 4ky + 5k = 0,
Question:
Given the simultaneous equations 2x – y = 1, x2 + 4ky + 5k = 0, where k is a non-zero constant
a. Show that x2 + 8kx + k = 0. Given that x2 + 8kx + k = 0 has equal roots,
b. Find the value of k.
c. For this value of k, find the solution of the simultaneous equations.
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a To show that x2 8kx k 0 we need to eliminate the variable y from the first equation and substitute ...View the full answer
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Related Book For 
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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