If `|[x,x+y, x+y+z],[2x,3x+2y,4x+3y+2z],[3x,6x+3y, 10 x+6y+3z]|=64 ,` then the real value of `x` is __________.

If |(x, x+y, x+y+z),(2x,3x+2y, 4x+3y+2z),(3x,6x+3y, 10x+6y+3z)|=64 then the real value of x is

If x,y,z in R & Delta =|(x,x+y,x+y+z),(2x,5x+2y,7x+5y+2z),(3x,7x+3y,9x+7y+3z)|=-16 then the value of x is

Prove that |{:(x,x+y,x+y+z),(2x,3x+2y,4x+3y+2z),(3x,6x+3y,10x+6y+3z):}|=x^3

If 2x+3y=5, 2y+z=3, and x+5y+z=3 , then x =

If x = 2, y = 3 and z = -1, find the values of : (2x-3y+4z)/(3x-z)

Given 3[x y z w]-[x6-1 2w]+[4x+y z+w3] , find the values of x, y, z and w.

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

If 7x + 6y - 2z = 0, 3x + 4y + 2z = 0, x - 2y - 6z = 0 then which option is correct

Value of |[x+y, z,z ],[x, y+z, x],[y, y, z+x]|, where x ,y ,z are nonzero real number, is equal to a. x y z b. 2x y z c. 3x y z d. 4x y z

Show that : |[x, y, z ],[x^2,y^2,z^2],[x^3,y^3,z^3]|=x y z(x-y)(y-z)(z-x)dot