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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 a. 2 b. 0 c. 1 d. none of these

A

2

B

0

C

1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
2
Let `f(x) = -3 + x - x^(2)`. Then `f(x) lt 0` for all x, because coefficient of `x^(2)` is negative and `D lt 0`. Thus, L.H.S. of the given equation is always positive, whereas the R.H.S. is always less than zero.
Hence, there is no solution.
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