[" ues of "alpha" for which the roots of the quadratic "],[[" (3) "4," (4) "5,]]

If alpha and beta are the roots of the quadratic equation x^(2) + sqrt(2) x + 3=0 form a quadratic equation with roots (1)/(alpha) and (1)/(beta)

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

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 and beta are the roots of the quadratic equation x^(2) + sqrt(2x) + 3 = 0 . Form a quadratic polynomial with zeros (1)/(alpha), (1)/(beta) .

If alpha , beta are the roots of the quadratic equation ax^(2) + bx + c = 0 , then the quadratic equation whose roots are alpha^(3) , beta^(3) is

If alpha and beta are the roots of the quadratic equation ax^(2)+bx+1 , then the value of (1)/(alpha beta)+(alpha+beta) is

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) .