Home
Class 12
MATHS
If x=2+2^(2/3)+2^(1/3) show that x^(3)-...

If `x=2+2^(2/3)+2^(1/3)` show that `x^(3)-6x^(2)+6x-2=0`

Promotional Banner

Topper's Solved these Questions

  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|6 Videos
  • LAWS OF INDICES

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|14 Videos
  • INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample questions for Competitive Exams ( D Comprehension Type)|4 Videos
  • LIMIT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

If x=2^(2/3)+2^(1/3) show that x^(3)-6x=6

If x= 2^(2/3)+2^(1/3) , find the value of (x^3-6x) .

If x=2+2^(2//3)+2^(1//3) , then the value of x^3-6x^2+6x is (a) 3 b. 2 c. 1 d. -2

If x=1+3^(2/3)+3^(1/3) , find the value of (x^3-3x^2-6x-4) .

IF x^(2)+xy+y^(2)=a^(2) , show that, (x+2y)^(3)(d^(2)y)/(dx^(2))+6a^(2)=0 .

If y = 3e^(2x)+2e^(3x) then show that y_2-5y_1 +6y=0

IF y=3e^(2x)+2e^(3x) , show that, y_2-5y_1+6y=0 .

If x_(1) , x_(2) and x_(3) are the positive roots of the equation x^(3)-6x^(2)+3px-2p=0 , p inR , then the value of sin^(-1)((1)/(x_(1))+(1)/(x_(2)))+cos^(-1)((1)/(x_(2))+(1)/(x_(3)))-tan^(-1)((1)/(x_(3))+(1)/(x_(1))) is equal to

int (x^(2) + x -1)/(x^(3) + x^(2) - 6x)dx

Show that (x +4) ,(x-3) and (x-7) are factors of x ^(3) - 6x ^(2) - 19 x + 84.