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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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The correct Answer is:
0
`"Let "f(x)=-3+x-x^(2)`
`"Now, "D=1^(2)-4(3)=-11 lt0`
Here, coefficient of `x^(2)lt0" "therefore "f(x) lt 0`
Thus, LHS of the given equation is always positive whereas the RHS is always less than zero.
Hence, the given equation has no solution.
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