The total number of solutions of the equation 3x+2 x= 5 2 in x [0,2 ] is equal to

JEE Main Mathematics question

Not in JEE Main syllabus

The total number of solutions of the equation in is equal to

Answer: (C)

Rewrite as , i.e. a straight line with negative slope meeting the tangent curve. On the graph of has three branches: ,

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Question ID VK-008126