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The number of values of x in the in inte...

The number of values of `x` in the in interval `[0,5pi]` satisfying the equation `3sin^2x-7sinx+2=0` is 0 (b) 5 (c) 6 (d) 10

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`3sin^2x-7sinx+2=0`
`3sin^2x-6sinx-sinxx+2=0`
`3sinx(sinx-2)-1(sinx-2)=0`
`(sinx-2)(3sinx-1)=0`
`sinx=2`
No solution
`sinx=1/3`
Number of x=6
...
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