Home
Class 12
MATHS
If alpha, beta are the roots of the equ...

If ` alpha, beta` are the roots of the equation ` x^(2) + x + 1 = 0` then prove that ` alpha^(4) + beta^(4) + alpha^(-1) beta^(-1) = 0 `.

Promotional Banner

Topper's Solved these Questions

  • DE MOIVRE'S THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Textual Exercise (EXERCISE - 2 (a) )|11 Videos

  • DE MOIVRE'S THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 2 (b)|32 Videos

  • COMPLEX NUMBERS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise LAQ|1 Videos

  • DEFINITE INTEGRALS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Question|3 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the quadratic equation x^(2) - 3x + 1 = 0 "then" 1/alpha^(2) + 1/beta^(2)

"If" alpha and beta are the roots of the quadratic equation 2x^(2) + 3x - 7 = 0 "then" (alpha^(2) + beta^(2))/(alpha beta)=

If alpha, beta are the roots of 1 + x + x^(2)= 0, then the value of alpha^(4) + beta^(4) + alpha^(-4)beta^(-4) is

If alpha , beta , gamma are the roots of the equation x^3 +4x^2 -5x +3=0 then sum (1)/( alpha^2 beta^2)=

If alpha and beta are the roots of the equation x^2-2x+4=0, then alpha ^9 + beta ^9=

If alpha, beta are the roots of the equation x ^(2) + 5x+ 2=0, then ((alpha )/(2 + 5 alpha ))^(2)+ ((beta)/(2 + 5 beta))^(2) =