If `alpha ,beta` are the roots of the equation `2x^2+2(a+b)x+a^2+b^2=0` then find the equation whose roots are`(alpha + beta)^2` and `(alpha-beta)^2`

If 2alpha and 3beta are the roots of the equation x^(2) + az +b = 0 , then find the equation whose roots are a,b .

If alpha,beta are the roots of the equation 2x^(2)-3x-5=0, then the equation whose roots are (5)/(alpha),(5)/(beta) is

If alpha and beta are the roots of the equation x^2 - 10x + 5 = 0 , then equation whose roots are (alpha+beta)^2 and (alpha-beta)^2 is

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

If alpha, beta are the roots of the equation x^2-bx+c=0 then find the equation whose roots are (alpha^2+beta^2)(alpha^3+beta^3) and alpha^5 beta^3+alpha^3beta^5-2alpha^4beta^4

If alpha, beta are the roots of the equation 2x^(2)-3x+2=0 , form the equation whose roots are alpha^(2), beta^(2) .

If alpha and beta are the roots of the equation x^(2)-3x+2=0, Find the quadratic equation whose roots are -alpha and -beta :

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