Home
Class 9
MATHS
Show that : x^(3)+(1)/(x^(3))=52 , if ...

Show that :
`x^(3)+(1)/(x^(3))=52 , if x =2 + sqrt(3)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RATIONAL AND IRRATIONAL NUMBERS

    ICSE|Exercise EXERCISE 1 (C)|49 Videos
  • PYTHAGORAS THEOREM

    ICSE|Exercise 4 MARKS QUESTIONS|9 Videos
  • RECTILINEAR FIGURES

    ICSE|Exercise QUADRILATERALS AND ITS PROPERTIES - 4 MARKS QUESTIONS|7 Videos

Similar Questions

Explore conceptually related problems

Show that : x^(2)+ (1)/(x^(2)) = 34 , if x =3 + 2sqrt(2)

Differentiate tan^(-1)((3x-x^3)/(1-3x^2)) , if x >1/(sqrt(3))

If |x| is so small that x^2 and higher powers of x may be neglected show that ((8 + 3x)^(2//3))/((2 + 3x)sqrt(4 - 5x)) = 1 - (5x)/(8)

Prove that 3 tan^(-1) x= {(tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " -(1)/(sqrt3) lt x lt (1)/(sqrt3)),(pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x gt (1)/(sqrt3)),(-pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x lt - (1)/(sqrt3)):}

Show that the function f(x)= x^(3) - 3x^(2)+3x - 1 is an increasing function on R.

Differentiate tan^(-1)((3x-x^3)/(1-3x^2)) , if -1/(sqrt(3))

If x = sqrt(3)- sqrt(2) find the value of x^(3)+(1)/(x^(3))- 3 (x^(2)+(1)/(x^(2)))+x+(1)/(x)

If cos^-1 ((x^2-1)/(x^2+1))+ tan^-1 ((2x)/(x^2-1)) = (2pi)/3 , then x equal to (A) sqrt(3) (B) 2+sqrt(3) (C) 2-sqrt(3) (D) -sqrt(3)

If cos^-1 ((x^2-1)/(x^2+1))+ tan^-1 ((2x)/(x^2-1)) = (2pi)/3 , then x equal to (A) sqrt(3) (B) 2+sqrt(3) (C) 2-sqrt(3) (D) -sqrt(3)

Prove that : cos^(-1) x + cos^(-1) ((x)/(2) + (sqrt( 3-3x^2) )/( 2) ) = (pi)/ (3)