The number of real solutions of the equation ^7x+ ^4x=1 in the interval [- , ] is

JEE Advanced Mathematics question

Not in JEE Main syllabus

The number of real solutions of the equation in the interval is

Answer: (B)

Since : - , with equality iff ; - , with equality iff (for , ).

Adding, $x+x^

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Question ID VK-108494