Question

if alpha, beta are the roots of the equation 8 x square - 3 x + 27 is equals to zero then the value of Alpha square by beta whole to the power of 1 by 3 + beta square by Alpha whole to the power of 1 by 3 is

Answer 1

The two roots of the equation 8x^2-3x+27=0is α &β
α+β=-b/a=-(-3)/8
αβ=c/a=27/8
Now (α^2/β)^1/3 + (β^2/α)^1/3
=α^2/3/β^1/3 + β^2/3/α^1/3
=α^2/3*α^1/3 +β^2/3*β^1/3/(αβ)^1/3
=α+β/(αβ)^1/3
=3/8/(27/8)^1/3
=3/8/3√27/3√8
=3/8/3/2
=1/4

Answer 2

Step-by-step explanation:

which is the required solution