Question

If alpha ,beta are zeroes of the polynomial 2x2-4x+5 find the value of root alpha/beta+root beta/alpha

Answer 1

2x²⁻4x+5=0

√(α÷β) + √(β÷α) = (α+β)÷√(αβ)
=2÷√(5÷2)
=2√2/√5