If x = (c* square root of b) + 4 find the value of x + 1/x

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Solution

1/x
= 1/(c√b + 4)
= (c√b - 4)/(c√b - 4) x 1/(c√b + 4)
= (c√b - 4)/(c2b - 16)

So, x + 1/x
= (c√b + 4) + (c√b - 4)/(c2b - 16)
= (c3b√b -15c√b - 68 + 4c2b)/(c2b - 16)

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