Math, asked by Anonymous, 1 year ago

If α and β are the zeroes of the quadratic polynomial f(x) = x² -2x + 3 , find a polynomial whose roots are :-

$\frac{ \alpha - 1}{ \alpha + 1} , \frac{ \beta - 1}{ \beta + 1 }$

Answers

Answered by iamlall

x^{2} -2x +3 =0 =\ \textgreater \ (x-3)(x-1) =0 =\ \textgreater \ x= 3, 1 =>\alpha =3 ,,, \beta =1

S= \frac{ \alpha -1}{ \alpha +1}+ \frac{ \beta -1}{ \beta +1} = 1/2

P= 0

$x^{2} -Sx+P=0$

iamlall: [tex] x^{2} -2x +3 =0 =\ \textgreater \ (x-3)(x-1) =0 =\ \textgreater \ x= 3, 1 [/tex]
let [tex] \alpha =3 ,,, \beta =1 [/tex]\

iamlall: x^{2} -2x +3 =0

iamlall: (x-3)(x-1) =0

iamlall: x= 3, 1

iamlall: alpha= 3

iamlall: beta=1

iamlall: x^2-Sx+P=0

iamlall: S= sum of next roots P=product of roots

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