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Let x^2-(m-3)x+m=0 (mepsilonR) be a quad...

Let `x^2-(m-3)x+m=0 (mepsilonR)` be a quadratic equation . Find the values of m for which the roots are (ix)one root is smaller than 2 & other root is greater than 2 (x) both the roots are greater than 2 (xi) both the roots are smaller than 2 (xii)exactly one root lies in the interval (1,2) (xiii) both the roots lies in the interval (1,2) (xiv) atleast one root lies in the interval (1,2) (xv) one root is greater than 2 and the other root is smaller than 1

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(x) one root is < 2 and other is > 2
From graph we get, `D>=0`
m`in`(-`oo`,1)`uu`[9,`oo`) (1)
`a`*`f(2)=1`*`f(2)``<`0
`4-(m-3)*2+m<0`
`m+4-2*m+6<0`
`m>10` (2)
...
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