Home
Class 8
MATHS
If x+y+z=1,\ x y+y z+z x=-1\ \ a n d\ x ...

If `x+y+z=1,\ x y+y z+z x=-1\ \ a n d\ x y z=-1,` find the value of `x^3+y^3+z^3`

Text Solution

Verified by Experts

The correct Answer is:
`z ^(3)=1`
Promotional Banner

Topper's Solved these Questions

  • ALGEBRAIC EXPRESSIONS AND IDENTITIES

    S CHAND IIT JEE FOUNDATION|Exercise QUESTION BANK|25 Videos

  • ALGEBRAIC EXPRESSIONS AND IDENTITIES

    S CHAND IIT JEE FOUNDATION|Exercise SELF ASSESSMENT SHEET|10 Videos

  • AREA AND PERIMETER OF RECTANGLE, SQUARE, PARALLELOGRAM, TRIANGLE AND CIRCLES

    S CHAND IIT JEE FOUNDATION|Exercise Question Bank - 25 (M.C.Q) |15 Videos

Similar Questions

Explore conceptually related problems

If x = 1, y = 2 , z = 5 , find the value of x^3 - y^3 -z^3

If x=1, y=2 and z =3 then find the value of x^3 - z^3 + y^3

If x=3, y=2 and z=-1 , then the value of (x^3+y^3+1)/(y^3-z^3) is

If A=[(x,y,z),(y,z,x),(z,x,y)] and A^3=I_3 and xyz=2 and x+y+z gt 0 find the value of x^3+y^3+z^3 is

If x:y=2:3 , y:z=3:4 , z:k=1:2 , find the value of x:y:z:k

x+y-z=1 3x+y-2z=3 x-y-z=-1

If [[x-y-z] , [-y+z] , [z]] = [[0], [5] , [3]] then find the values of x, y and z

(x+y)(y+z)=18,(y+z)(z+x)=30 and (x+y)(x+z)=15. Find value of x,y,z

2x+y-z=1 x-y+z=2 3x+y-2z=-1