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If ||x-1|-2|=5, then find x....

If `||x-1|-2|=5`, then find x.

A

`5,-4`

B

`-7, 4`

C

`-8,6`

D

`8,-6`

Text Solution

Verified by Experts

The correct Answer is:
D
`|x-1|-2=+-5`
`|x-1|=7,-3`
Case-I: When `|x-1|=7 rArr x-1 =+-7 rArr x=8,-6`
Case II: When `|x-1|=-3` (reject)
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Knowledge Check

  • If x - (1)/(x) = 5 , then find the value of x^(2) + (1)/(x^(2)) .

    A
    `27`
    B
    `28`
    C
    `29`
    D
    `30`

  • If x+(1)/(x)=5 , then find the value of x^(2)+(1)/(x^(2)) .

    A
    `26`
    B
    `23`
    C
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    D
    `22`

  • If x + (1)/(x) = 5 , then find (2x)/(3x^(2) - 5x + 3)

    A
    5
    B
    `(1)/(5)`
    C
    4
    D
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