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The number of real solutions of the equa...

The number of real solutions of the equation `(9//10)^x=-3+x-x^2` is

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Let `f( x ) = - 3 + x - x^(2)`
Now, `D = 1^(2) - 4( 3) = -1 1 lt 0 `
Here, coefficient of `x^(2) lt 0 :. f ( x ) lt 0 `
Thus, LHS of the given equation is always positive where as the RHS is always less than zero. Hence, the given equation has no solution.
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