Question

Given that alpha and beta are the roots of the quadratic equations px 2+qx+1=0 find the value of alpha cube beta square+alpha square beta cube

Answer 1

Answer:

-q/p³

Step-by-step explanation:

Now,sum of the roots=-b/a also,their product=c/a

Now here, sum=-q/p and product =1/p

( here a is alpha and b is beta)

a³ b² +b³a²=a²b²(a+b)=(ab)²(a+b)

ab or theproduct =1/p and thesum or a+b=-q/p

(1/p)²-q/p=-q/p³