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Math

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Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.)
17x3 − x + 3 = x3 + 24x2 + x

  • Math - ,

    17x3 − x + 3 = x3 + 24x2 + x
    Transpose to put it in standard polynomial form.
    16x³-24x²-2x+3=0
    Try to factor by noting that
    16:-24 is the same as -2:3
    so (2x-3) is a factor
    Regroup as:
    8x²(2x-3)-(2x-3)=0
    (8x²-1)(2x-3)=0
    Can you take it from here?

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