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JEE Previous Year Question

$Let S = {x : x ϵ R and (3 + 2)^{x^{2} - 4} + (3 - 2)^{x^{2} - 4} - 10} Then n (S) eqaual to$

Topic: JEE PYQ

Answer: B. Full step-by-step solution below.

A $2$
B $4$
C $6$
D $0$

Correct answer: B

Solution

(b) solution Let (3 + 2)^{x^{2} - 4} = ty t + \frac{1}{t} = 10 \Rightarrow t = 5 + 26, 5 - 26 \Rightarrow (3 + 2)^{x^{2} - 4} = 5 + 26, 5 - 26 \Rightarrow x^{2} - 4 = 2, - 2 or x^{2} = 6, 2 \Rightarrow x = \pm 2, \pm 6

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