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Sol v e:4x^3-24 x^2+44 x-24 >0...

`Sol v e:4x^3-24 x^2+44 x-24 >0`

Text Solution

Verified by Experts

`4x^3-24 x^2+44 x-24 >0`
`x^3-6x^2+11x-6>0`
`f(x)=x^3-6x^2+11x-6`
`f(x)=0`
`x^3-6x^2+11x-6=0`
`(x-1)(x-2)(x-3)=0`
`x in (1, 2) cup (3, oo)`
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Solve: 4x^(3)-24x^(2)+44x-24>0

Solve: 4x^(3)-24x^(2)+44x-24>0

Knowledge Check

  • If x = 23, find the value of x^(8) – 24x^(7) +24x^(6) - 24x^(5) + 24x^(4) - 24x^(3) + 24x^(2) – 24x +1 (a)−22 (b)−20 (c)−18 (d)−24

    A
    `-22`
    B
    `-20`
    C
    `-18`
    D
    `-24`
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