If `a=cos(2pi//7)+isin(2pi//7)` , then find the quadratic equation whose roots are
`alpha=a+a^2+a^4` and `beta=a^3+a^5+a^6` .

If alpha,beta are roots of x^2-px+q=0 then find the quadratic equation whose roots are ((alpha^2-beta^2)(alpha^3-beta^3)) and alpha^2beta^3+alpha^3beta^2

If alpha and beta are the roots of the equation 2x^2-3x + 4=0 , then the equation whose roots are alpha^2 and beta^2, is a. 4x^(2)+7x+16=0 b. 4x^(2)+7x+6=0 c. 4x^(2)+7x+1=0 d. 4x^(2)-7x+16=0

If alpha and beta are the roots of the quadratic equation x^2+4x+3=0 , then the equation whose roots are 2 alpha+ beta are alpha+2 beta is :

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

If alpha, beta are the roots of the equationn x^(2)-3x+5=0 and gamma, delta are the roots of the equation x^(2)+5x-3=0 , then the equation whose roots are alpha gamma+beta delta and alpha delta+beta gamma is

If [{:(2alpha+1," "3beta),(0,beta^(2)-5beta):}]=[{:(beta+3,beta^(2)+2),(0,-6):}] find the equation whose roots are alpha and beta.

If the roots of a quadratic equation are 20 and -7, then find the equation?

If alpha, beta, gamma are the roots of the cubic equation x^(3)+qx+r=0 then the find equation whose roots are (alpha-beta)^(2),(beta-gamma)^(2),(gamma-alpha)^(2) .

If alpha, beta are the roots of x^(2)-3x+1=0 , then the equation whose roots are (1/(alpha-2),1/(beta-2)) is

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is a. x^(2)+alpha x- beta=0 b. x^(2)-[(alpha +beta)+alpha beta]x-alpha beta( alpha+beta)=0 c. x^(2)+[(alpha + beta)+alpha beta]x+alpha beta(alpha + beta)=0 d. x^(2)+[(alpha +beta)+alpha beta)]x -alpha beta(alpha +beta)=0