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4-2.Quadratic Equations and Inequations
hard
समीकरण $5+\left|2^{x}-1\right|=2^{x}\left(2^{x}-2\right)$ के वास्तविक मूलों की संख्या है
A
$4$
B
$3$
C
$2$
D
$1$
(JEE MAIN-2019)
Solution

Let $2^{x}=t$
$5+|t-1|=t^{2}-2 t$
$\Rightarrow|t-1|=\left(t^{2}-2 t-5\right)$
$g(t) \quad f(t)$
From the graph So, number of real root is $1.$
Standard 11
Mathematics