JEE Mains · Maths · STD 11 - 4.2 Quadratic equations and inequations
The number of real roots of the equation \(5 + |2^x - 1| = 2^x(2^x - 2)\) is
- A \(4\)
- B \(3\)
- C \(2\)
- D \(1\)
Answer & Solution
Correct Answer
(D) \(1\)
Step-by-step Solution
Detailed explanation
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 \(1.\)
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