Question

if 3x^2-5x+6
then find alpha^2+Beta^2-alpha^2beta^2

Answer 1

Given f(x)= 3x2-5x+2

 αβ=c/a

 or, αβ=2/3......(i)

α+β=-(b)/a

      =5/3

Now, (α+β)2=(5/3)2

α2+β2+2αβ=25/9

α2+β2=25/9-2αβ 

α2+β2=25/9-2(2/3)  {From eq (i)}

so,α2+β2=13/9

Therefore α2+β2 =13/9

Answer 2

i hope this will usful to u