Question

If α and β are the zeroes of the polynomial of x²-4x + 3 find the value of alpha to the power4 *beta to the power 2+ alpha to the power 2*beta to the power 4.

Answer 1

Answer:

α⁴β²+α²β⁴=108

Step-by-step explanation:

x²-4x+3=0

∴ x²-3x-x+3=0

∴ (x-3)(x-1)=0

∴ α=3, β=1

α⁴β²+α²β⁴

=(3⁴*1)+(3²*1)

=3⁴+3²

=81+27

=108

Answer 2

Heya

_______________________________

ax² + bx + c = 0

Alfa + Beta = -b/a

And

Alfa × Beta = c/a

_______________________________

Alfa + Beta = -4

And

Alfa × Beta = 3

Alfa⁴ Beta² + Beta⁴ Alaf² =

Alfa² × Beta² { Alfa² + Beta² }

=>

=

9 { 16 - 6 }

=>

Alfa⁴ Beta² + Beta⁴ Alfa² = 90