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Find the number of real solutions of the equation

Source: MTRP 2017 Class 11-Multiple Choice Question: Problem 1 :-

May 25, 2020
equationalgebra

Problem Statement

The number of real solutions of the equation (910)x=3+xx2\left(\frac{9}{10}\right)^x=-3+x-x^2 is
[*] 2 [*] 0 [*] 1 [*] None of these