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(1+5sqrt(2)x)^(9)+(1-5sqrt(2)x)^(9)...

(1+5sqrt(2)x)^(9)+(1-5sqrt(2)x)^(9)

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Find the number of terms in the expansions of the following: (1+sqrt(2)x)^(9)+(1-5sqrt(2)x)^(9)

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Using properties of proportion, solve for x : (i) (sqrt(x + 5) + sqrt(x - 16))/ (sqrt(x + 5) - sqrt(x - 16)) = (7)/(3) (ii) (sqrt(x + 1) + sqrt(x - 1))/ (sqrt(x + 1) - sqrt(x - 1)) = (4x -1)/(2) . (iii) (3x + sqrt(9x^(2) -5))/(3x - sqrt(9x^(2) -5)) = 5 .