If α, β are roots of x2 – 3ax + a2 = 0, find the value(s) of a if α2 + β2 = 74 .

If α and β are the roots of the equation 2x2 − x − 4 = 0. Find the equation whose roots are α − βα and β − αβ

If α and β are the roots of the equation 3x2 + 5x − 2 = 0, what is α2 + β2

Suppose that α, β and γ are the roots of the cubic equationx3 − 4x2 + 3x + 1 = 0.Find the cubic equation whose roots are α2 , β2 and γ2

If  α, β  are the roots of the quadratic equation  kx2 + 4x + 4  =  0 , then the value of  k  such that  α2 + β2  =  24  isSelect an answerA1B −23 C-1D 49

If α and β are the roots of the expression 2x2 + 8x + 7 = 0, write down the value of pα2 + β2 + 1