Solve the following equations : i) 9(x^(2)+(1)/(x^(2)))-27(x+(1)/(x))+8=0 ii) 9sqrt((x)/(x+3))-sqrt((x+3)/(x))=2 iii) sqrt((4x-1)/(4x+1))-sqrt((4x+1)/(4x-1))=(8)/(3) iv) sqrt(3x^(2)+1)+(4)/(sqrt(3x^(2)+1))=5 v) 2(x^(2)+(1)/(x^(2)))-3(x+(1)/(x))=1 vi) x(x+2)(x+3)(x+5)=72 vii) x(x-1)(x+2)(x-3)= -8 viii) (x-1)(x+1)(2x+3)(2x-1)=3

Solve the following equations : i) 9(x^(2)+(1)/(x^(2)))-27(x+(1)/(x))

1.	Solve the following equations : i) 9(x^(2)+(1)/(x^(2)))-27(x+(1)/(x))+8=0 ii) 9sqrt((x)/(x+3))-sqrt((x+3)/(x))=2 iii) sqrt((4x-1)/(4x+1))-sqrt((4x+1)/(4x-1))=(8)/(3) iv) sqrt(3x^(2)+1)+(4)/(sqrt(3x^(2)+1))=5 v) 2(x^(2)+(1)/(x^(2)))-3(x+(1)/(x))=1 vi) x(x+2)(x+3)(x+5)=72 vii) x(x-1)(x+2)(x-3)= -8 viii) (x-1)(x+1)(2x+3)(2x-1)=3
Answer» Answer :i) `{3, (1)/(3), (-1 +- isqrt(35))/(6 )}` ii) 1 iii) `(-5)/(16)` iv) `0, +- SQRT5` v) `{2, (1)/(2), (-1+- isqrt3)/(2)}` vi) `{-6, 1, (-5 +- I sqrt(23))/(2)}` vii) `{-1, 2, (1 +- sqrt(17))/(2)}` VIII) `{(-1)/(2), 0, (-1 +- sqrt(33))/(4)}`

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