Quadratic equation

Question

If α, β are the roots of the equation, 2x² -3x +6, find the sum and product of the roots and hence find, α⁴+β⁴

Answer 1

\(α+β=-b/a=3/2 \\ αβ=c/a=6/2=3 \\ α^2+β^2= (α+β)^2-2αβ =-15/4 \\ α^4+β^4= (α^2+β^2)^2-2α^2β^2=-6 3/16\)