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

12. 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

Find all the roots α, β, γ of the cubicequation 3 7 6 0x x− − = . Also, find theequation whose roots are α + β, β + γand α + γ

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