Question

P(x)=2x^2+6x+4.find the value of alpha square bita +bita square alpha

Answer 1

★★Heya★★

For a general quadratic equation say ( ax² + bx + c = 0 ). we have

Alfa + Beta = -b/a

And

Alfa × Beta = c/a

_______________________________

Alfa + Beta = -6/2 = -3

And

Alfa × Beta = 4/2 = 2

=>

Alfa² × Beta + Beta² × Alfa =

Alfa × Beta ( Alfa + Beta )

=>

Alfa² × Beta + Beta² × Alfa =

2 ( -3 ) = -6