If `2 1/2+ 3 1/2 +4 1/2 =x` then find `x-5 1/2`

If 2(x^(2) + 1)= 5x , find x- (1)/(x)

If 2(x^(2) + 1)= 5x , find x^(3)- (1)/(x^(3))

If 2x - (1)/(2x) =4 , find : (i) 4x^(2) + (1)/( 4x^2)

If A=[(2, 0, 1 ),(2, 1, 3),( 1,-1, 0)] , find A^2-5A+4I and hence find a matrix X such that A^2-5A+4I+X=O .

(lim)_(xvecoo)(2. x^(1//2)+3. x^(1//3)+4. x^(1//4)++ndotx^(1//n))/((3x-4)^(1//2)+(3x-4)^(1-3)+(3x-4^)^(1//3)++(3x-4)^(1//n)) (here n in N ,ngeq2 ) is equal to 1 dot2/(sqrt(3)) 2. (sqrt(3))/2 3. 1/2 4. 1/(sqrt(3)) 5. 2

Let the equation x^(5) + x^(3) + x^(2) + 2 = 0 has roots x_(1), x_(2), x_(3), x_(4) and x_(5), then find the value of (x_(1)^(2)-1)(x_(2)^(2) - 1)(x_(3)^(2) - 1)(x_(4)^(2) - 1)(x_(5)^(2) - 1).

If 3x - (1)/(3x ) =5 , find : (i) 9x^(2) + (1)/( 9x^2)

If A=[[0 ,1 ,3],[ 1, 2,x],[2, 3, 1]] and A^(-1)=[[1//2,-4 ,5//2],[-1//2, 3,-3//2],[ 1//2,y,1//2]] ,find x ,\ y .

Evaluate int ((8x+13)/sqrt(4x+7)) dx (A) 1/3 (4x+7)^(3/2) - 1/2 (4x+7)^(1/2) + c (B) 1/6 (4x+7)^(5/2) - 2/3 (4x+7)^(3/2) + c (C) 1/3 (4x+7)^(5/2) - 1/2 (4x+7)^(3/2) + c (D) (4x+7)^(3/2) - 1/2 (4x+7)^(1/2) + c

If x = (1)/(x- 5) , find: x^(2)- (1)/(x^(2))