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Solve x^2-4-[x]=0 (where [] denotes the ...

Solve `x^2-4-[x]=0` (where `[]` denotes the greatest integer function).

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To solve the equation \( x^2 - 4 - [x] = 0 \), where \([x]\) denotes the greatest integer function (also known as the floor function), we can follow these steps: ### Step 1: Rewrite the equation We can rearrange the equation to isolate the greatest integer function: \[ [x] = x^2 - 4 \] ...
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Solve x^2-4x-[x]=0 (where [] denotes the greatest integer function).

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Knowledge Check

  • If [x]^(2)-3[x]+2=0 where [*] denotes the greatest integer function, then

    A
    `x in [2,3]`
    B
    `x in(1,2]`
    C
    `x in [1,2]`
    D
    `x in [1,3)`

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