Question

if alpha and bita be the roots of x square + bx + c=0,then form an equation whose roots are alpha + 1/alpha,bita + 1/bita

Answer 1

heya the answer to ur question is given below


see p(x)=x2+bx+c=0
now sum of roots =-b/a=-b
product of roots=c/a=c
now for f(x)
sum of roots=a+1/a+b+1/b
=a+b+2ab/ab
by putting values we get
s=2c-b/c
now product of roots=a+1/a*b+1/b
=a+b+ab+1/ab
on putting values we get
p=c+1-b/c
now we know any quadratic equation is of form
f(x)=k[x2-sx+p]
k[x2-(2c-b)/c+c+1-b/c]
when u will solve it u will get the equation
hope it helps u dear