Question: Given the simultaneous equations 2x y = 1, x 2 + 4ky + 5k = 0, where k is a non-zero constant a. Show

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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