Question

IF alpha and beta are the zeroes of f( x)= 3x2-5x-2 then find the value of alpha cube plus beta cube

Answer 1

Answer:

roots are -1 and -2/3

so -1 cube is -1

and -2/3 cube is -8/27

alpha cube + beta cube equals to -27-8/27

=-35/27

Answer 2

Answer:

215/27

Step-by-step explanation:

α + β = 5/3

αβ = -2/3

Now, α³ + β³ = ( α + β)³ - 3αβ( α+β)

=> (5/3)³ - 3×-2/3 (5/3)

=> 125/27 + 10/3

=> 125 + 90 / 27 = 215/27

hope it helps ! :)