Question

if alpha and beta are the zeros of polynomial px =x square - 5 x minus 1 then find the value of Alpha square beta + alpha beta square

Answer 1

Refer the attachment

Hope it Helps !

Answer 2

Answer:

HOPE THIS BRING A SMILE IN YOUR FACE

Step-by-step explanation:

Let alpha be a and beta be b

Sum of zeroes =-p/q

a+b=-(-5)/1

a+b=5

a=5-b-----☆

Product =r/p

ab=-1/1

ab= -1

a= -1/b-------♡

From ☆ and ♡

-1/b=5-b

-1=(5-b)b

-1=5b-b^2

b^2=5b-1-------◇

(-1/a)^2=5b-1

1/a^2=5b-1

1=(5b-1)a^2

1/(5b-1)=a^2------♧

a^2+b^2

=5b-1+1/(5b-1)

=[(5b-1)^2+1]/(5b-1)