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

Given that  α and β are the roots of the equation 2x2+5x−1=0 ,find a quadratic equation with roots α+2  and β+2 .Please give 1 answer.2x2−3x−3=0 −2x2−3x−3=0 2x2+3x−3=0 2x2+3x+3=0

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 equation 3x2 + 5x − 2 = 0, what is α2 + β2

If  α, β be two roots of the equation x2 + (24)1/4x + 61/2 = 0, then  α8 + β8 is equal to

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