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sqrt(3x^(2)+x+5)=x-3...

sqrt(3x^(2)+x+5)=x-3

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sqrt(3x^(2)-7x-30)-sqrt(2x^(2)-7x-5)=x-5

Factorise : 2sqrt(3)x^(2) + x - 5sqrt(3)

(3x+sqrt(9x^(2)-5))/(3x-sqrt(9x^(2)-5))=5

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 .

lim_ (x rarr oo) (2sqrt (x) + 3x ^ (1/3) + 5x ^ (1/5)) / (sqrt (3x-2) + (2x-3) ^ (1/3))

lim_ (x rarr oo) (sqrt (3x ^ (2) +1) -sqrt (2x ^ (2) -3x + 5)) / (7x + 2) =

Factorise: sqrt5 x^(2) + 2x- 3sqrt5

Solve sqrt(3x^2 -7x -30) - sqrt(2 x^2 -7x-5) = x-5

Solve sqrt(3x^2-7x-30)-sqrt(2x^2-7x-5)=x-5.