The number of values of x in the interval (0,5 ) satisfying the equation 3 ^2x-7 x+2=0

MHT CET 2024 Mathematics question

Not in JEE Main syllabus

The number of values of x in the interval satisfying the equation

(A)0
(B)5
(C)6Correct
(D)10

Answer: (C)

Solution

Factorise: . Since , is impossible, so . Because , solutions occur only where sine is positive: in , and , and each such interval contains exactly 2 solutions (one in each half,

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Question ID VK-099882