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3. If 2x -1/2x= 2 then the value of 16x^4 + 1/16x^4 is? a. 18 b. 34 c. 38 d. -14

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$Given:; 2x-frac12x=2\* now,;square;both;side\* (2x-frac12x)^2=2^2\*Rightarrow 4x^2+frac14x^2-2=4\* Rightarrow 4x^2+frac14x^2=6\*now,;square;both;side,\* Rightarrow (4x^2+frac14x^2)^2=6^2\* Rightarrow 16x^4+frac116x^4+2=36\* Rightarrow 16x^4+frac116x^4=34$

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Deependra Verma

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