1.

e that both the roots Prove that both the roots ofthe equation (x (x-b) t (x-b)(x-cy t (x- c) (x-a 0 are alw ind the interval in which lies if (a2 t a-2) (a

Answer» `-2<(x^2+4x+1)/(x^2+x+1)<2`
`-1<(x^2+kx+1)/(x^2+x+1)`
`0<2+(x^2+kx+1)/(x^2+x+1)`
`0<(3x^2+(2+k)x+3)/(x^2+x+1)`
`3x^2+(2+k)x+3>0`
`(2+k)^2-4*3*2<0`
`(k+z)^2<36`
`-6ltk+2<6`
`-8`(x^2+kx+1)/(x^2+x+1)-2<0`
`(-x^2+(k-1)x-1)/(x^2+x+1)<0`
`-x^2+(k-2)x-1<0`
`x^2-(k-2)x+1>0`
`D<0`
`(k-2)^2-4<0`
`(k-2)^2<4`
`-2ltk-2<2`
`0ltk<4-(2)`
`k in (0,4)`.


Discussion

No Comment Found

Related InterviewSolutions