1.

यदि `(x^(24)+1)/(x^(12))=7` है तो `(x^(72)+1)/(x^(36))` का मान ज्ञात करें।A. 343B. 433C. 432D. 322

Answer» Correct Answer - D
Given
`(x^(24)+1)/(x^(12))=7`
`(x^(24)+1)/(x^(12))implies(x^(24))/(x^(12))+1/(x^(12))`
`implies x^(12)+1/(x^(12)=7`
`implies` cubing both sides
`implies (x^(12)+1/(x^(12)))^(3)=7^(3)`
`implies x^(36)+1/(x^(36))+(3 xx x^(12)xx 1)/(x^(12))(x^(12)+1/(x^(12)))`
`=343`
`implies x^(36)+1/(x^(36))+3xx7=343`
`implies x^(36)+1/(x^(36))=243-21`
`implies x^(36)+1/(x^(36))=(x^(72)+1)/(x^(36)=322`


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