1.

यदि `x=root(3)(5)+2` है तो `x^(3)-6x^(2)+12x-13` का मान ज्ञात करें।A. `-1`B. `1`C. 2D. 0

Answer» Correct Answer - D
`x=root(3)(5)+2`
`impliesx-2=root(3)(5)`
Take cube on both sides
`implies (x-2)^(3)-(root(3)(5))^(3)`
`implies x^(3)-8-6x^(2)+12x=5`
`:. x^(3)-6x^(2)+12x-13=0`


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