Home
Class 12
MATHS
IF one root of the quadratic equation x^...

IF one root of the quadratic equation `x^2-x-1=0` is `alpha`, prove that its other root is `alpha^3-3alpha`.

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Multiple Choice type question)|20 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Very Short Answer type Question)|30 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

Similar Questions

Explore conceptually related problems

IF alpha be a root of the quadratic equation 4x^2+2x-1=0 , Let prove that 4alpha^3-3alpha is the other root.

If one root of the equation (alpha-4)x^2+2x+1=0 is 1, then alpha =

If alpha be a root of the quadratic equaiton 4x^2+2x-1=0 .Prove that 4alpha^3-3alpha is the other root.

If the roots of the quadratic equation 5x^2 - 2x - 3 = 0 be alpha and beta , find the value of (1)/(alpha)+(1)/(beta) .

If alpha,beta are the roots of the quadratic equation x^2+ax+b=0 , (bne0) , then the quadratic equation whose roots are alpha-1/beta,beta-1/alpha is

IF alpha,beta be the roots of the quadratic equation x^2-px+q=0 , find the equation whose roots are q/(p-alpha) and q/(p-beta) .Accound for the identity of the equation obtained with the given equation.

If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0 , then find the quadratic equation whose roots are (alpha-beta)^(2)and(alpha+beta)^(2) .

If alpha,beta are the roots of the quadratic equation x^2+px+q=0 , then the values of alpha^3+beta^3 and alpha^4+alpha^2beta^2+beta^4 are respectively

If the roots of the equation ax^2-bx+a=0 be alpha and beta , show that the equation with roots alpha^2+1 and beta^2+1 will be a^2x^2-b^2x+b^2=0

If alpha is a root of the equation 4x^2+2x-1=0, then prove that 4alpha^3-3alpha is the other root.