X⁴-10x³+35x²-50x+24=0
x₁=1
x⁴-10x³+35x²-50x+24 |_x-1
x⁴-x³ | x³-9x²+26x-24
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-9x³+35x²
-9x³+9x²
-------------
26x²-50x
26x²-26x
------------
-24x+24
-24x+24
-----------
0
x³-9x²+26x-24=0
x₂=2
x³-9x²+26x-24 |_x-2
x³-2x² | x²-7x+12
--------
-7x²+26x
-7x²+14x
------------
12x-24
12x-24
---------
0
x²-7x+12=0 D=1
x³=3 x₄=4
Ответ: x₁=1 x₂=2 x₃=3 x₄=4.