Решение уравнений 4 степени сложное.
Способ решения уравнения четвертой степени.
<span>x</span>⁴<span> + Ax</span>³<span> + Bx</span>²<span> + Ex + D = 0 (1)
</span><span>Уравнение (1) можно представить в виде:
(x</span>²<span> + ax + d)(x</span>²<span> + bx + g) = (2)
= x</span>⁴<span> + (a + b)x</span>³<span> + (ab + d + g)x</span>²<span> + (ag + bd)x + dg = 0 (3)
</span>Могу дать только ответы для подтверждения этой мысли:
<span>Ответ:
Корни полинома
x</span>⁴<span><span> + 3</span>x</span>³<span><span> − </span>x</span>²<span><span><span> − 5</span>x<span> − 2</span><span> = 0</span>
равны:
</span><span><span>x1<span> ≈ −2.81360670471645 </span></span><span>P(x1) ≈ 0 </span><span><span>iter = </span>1
</span></span><span><span>x2<span> ≈ −0.999998260217034 = -1 </span></span><span>P(x2) ≈ 0 </span><span><span>iter = </span>4
</span></span><span><span>x3<span> ≈ −0.529318308685604 </span></span><span>P(x3) ≈ 0 </span><span><span>iter = </span>4
</span></span><span><span>x4<span> ≈ 1.34292327361909 </span></span><span>P(x4) ≈ 0 </span><span><span>iter = </span>1</span></span></span>
(d³(2n-4p))/d³(3n-6p)=(2n-4p)/(3n-6p)=2(n-2p) / 3(n-2p)=2/3
- 8√2 cos pi/3 sin pi/4 = - 8√2* 1/2*√2/2 = - (8√2*√2)/4 = - (8*2) /4 = - 4
12/Х-10/Х=1
2*12/Х-2*10/Х=1*2Х
24-20=2Х
2Х=4
Х=2