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1 Pure Mathematics

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Question 245

It is given that x=3+5x = 3 + \sqrt{5}x=3+5​.

a.

Show that x2=14+65x^2 = 14 + 6\sqrt{5}x2=14+65​.

[2]
b.

Hence show that x2−6x+4=0x^2 - 6x + 4 = 0x2−6x+4=0.

[2]
c.

Hence, or otherwise, find the exact value of x+4xx + \dfrac{4}{x}x+x4​.

[2]
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1 Pure Mathematics Questions

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