If two roots `alpha,beta` of the equation `x^(4)-5x^(3)+11x^(2)-13x+6=0`are connected by the relation `2 alpha+3 beta=7` then the roots of the equation are

The equation x^(5)-5x^(3)+5x^(2)-1=0 has three equal roots.If alpha,beta are the other two roots of this equation then alpha+beta+alpha beta=

If alpha , beta roots of the equations x^(2) - 5x + 6 = 0 , find the value of alpha^(2) - beta^(2) .

If alpha,beta are the irrational roots of the equation x^(5)-5x^(4)+9x^(3)-9x^(2)+5x-1=0, then the roots of the equation (alpha+beta)x^(2)+2 alpha beta x-alpha beta=0 are

If alpha and beta are roots of the equation x^2 – x-1 = 0 , then the equation where roots are alpha/beta and beta/alpha is:

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 the roots of the equation x^(2)-5x+16=0 are alpha and beta and the roots of the equation x^(2)+px+q=0 are alpha^(2)+beta^(2) and (alpha beta)/(2), then