Equation with roots `2, 1/2` and 1

Equation with roots 1, 1 and -2

Construct a cubic equation with roots 1,1 and -2

Equation with roots 1, 2 and 3

Write the quadratic equation if the roots are: 1/2 and -1/2

Form the quadratic equation, if the roots are 1/2 and -4

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,beta,gamma are roots of equation x^(3)-6x^(2)+10x-3=0 then find equation with roots 2 alpha+1,2 beta+1,2 gamma+1

If alpha,beta,gamma equation x^(3)-6x^(2)+10x-3=0 then find equation with roots 2 alpha+1,2 beta+1,2 gamma+1

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,gamma are roots of equation x^3-6x^2+10x-3=0 then find equation with roots 2alpha+1, 2beta+1, 2gamma+1