If the roots of 10 x^3-cx^2-54 x-27=0 are in harmonic progression, then find c and all the roots. P

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рдпрджрд┐ рд╕рдореАрдХрд░рдг 10x^(3)-cx^(2) - 54x -27=0 рдХреЗ рдореВрд▓ рд╣рд░рд╛рддреНрдордХ рд╢реНрд░реЗрдврд╝реА рдореЗрдВ рд╣реИрдВ, рддреЛ c рдХрд╛ рдорд╛рди рдмрд░рд╛рдмрд░ рд╣реЛрдирд╛ рдЪрд╛рд╣... рдпрджрд┐ рд╕рдореАрдХрд░рдг 10x^(3)-cx^(2) - 54x -27=0 рдХреЗ рдореВрд▓ рд╣рд░рд╛рддреНрдордХ рд╢реНрд░реЗрдврд╝реА рдореЗрдВ рд╣реИрдВ, рддреЛ c рдХрд╛ рдорд╛рди рдмрд░рд╛рдмрд░ рд╣реЛрдирд╛ рдЪрд╛рд╣...
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