Question

if the roots of the equation 2x²-3x+5=0 are α and β then find the value of α²β+β²α.​

Answer 1

Answer:

Sum of roots = α+β = -b/a = 3/2

Product of roota = αβ = c/a = 5/2

Now,

${ \alpha }^{2} \beta + { \beta }^{2} \alpha =$

αβ(α+β) = 5/2 x 3/2 = 15/4

$= 3 \frac{3}{4}$