If x, , Y are the roots of the equation x ^ 3 + x +1=0 , then the value of x^ 3 + ^ 3 +y^…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If \(x, \beta, Y\) are the roots of the equation \(\mathbf{x}^{\mathbf{3}}+\mathbf{x}+1=0\), then the value of \(x^{3}+\beta^{3}+y^{3}\) is
- 0
- 3
- - 3
- -1
Answer
(C) - 3
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If the equation x^ 2 +b x+45=0(b R) has conjugate complex roots and they satisfy |z+1|=2 10 , then:
- The principal amplitude of (sin 40 o + i cos 40 o ) 5 is
- The complex numbers z = x + iy which satisfy the equation | z-5 i z+5 i |=1, lie on
- Area of Δ whose vertices are points z 1 , z 2 , z 3 on the argand diagram, is
- If z = x – iy and z 1/3 = p + iq, (where x,y,p,q ∈ R ) then ( x p + y q ) ( p ^ 2 + q ^ 2 ) equal to
- The equation z z +(2-3 i) z+(2+3 i) z +4=0 represents a circle of radius
- The harmonic mean of the roots of the equation (5+ 2 ) x^ 2 -(4+ 5 ) x+(8+2 5 )=0
- If (2+ 3 )^ x^ 2 -2 x+1 +(2- 3 )^ x^ 2 -2 x-1 = 2 2- 3 and x > 0 then, the value of x is
More Complex Numbers and Quadratic Equations questions · Browse all practice questions