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If product of the real roots of the equa...

If product of the real roots of the equation, `x^(2)-ax+30=2sqrt((x^(2)-ax+45)),agt0` is `lamda` minimum value of sum of roots of the equation is `mu`. The value of `(mu)` (where (.) denotes the least integer function) is

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The correct Answer is:
1
`implies2cos3theta=sqrt(2(1+costheta))`
`implies2"sin"(7theta)/4."sin"(5theta)/4=0`
`impliestheta=0, (4pi)7, (4pi)/5`
`:. X-2, 2"cos"(4pi)/7, -1.2(1+sqrt(5))`
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