a. By eliminating y from the equations y = 2 4x 3x 2 + xy +

Question:

a. By eliminating y from the equations

y = 2 − 4x

3x2 + xy + 11 = 0

show that x2 − 2x – 11 = 0.

b. Hence, or otherwise, solve the simultaneous equations

y = 2 − 4x

3x2 + xy + 11 = 0

giving your answers in the form a ± b√3, where a and b are integers.

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