2
5±
13
Пошаговое объяснение:
(x
2
−5x+4)(x
2
−5x+6)=3
Сделаем замену. Пусть x^2-5x+4=tx
2
−5x+4=t , тогда получаем
\begin{gathered}t(t+2)=3\\ t^2+2t=3\\ t^2+2t+1=4\\ (t+1)^2=4\\ t+1=\pm2\\ t_1=1\\ t_2=-3\end{gathered}
t(t+2)=3
t
2
+2t=3
t
2
+2t+1=4
(t+1)
2
=4
t+1=±2
t
1
=1
t
2
=−3
Обратная замена
\begin{gathered}x^2-5x+4=1\\ x^2-5x+3=0\\D=b^2-4ac=(-5)^2-4\cdot 3=25-12=13\\ \\ x_{1,2}= \dfrac{5\pm \sqrt{13} }{2} \end{gathered}
x
2
−5x+4=1
x
2
−5x+3=0
D=b
2
−4ac=(−5)
2
−4⋅3=25−12=13
x
1,2
=
2
5±
13
\begin{gathered}x^2-5x+4=-3\\ x^2-5x+7=0\\ D=b^2-4ac=(-5)^2-4\cdot 1\cdot 7\ \textless \ 0\end{gathered}
x
2
−5x+4=−3
x
2
−5x+7=0
D=b
2
−4ac=(−5)
2
−4⋅1⋅7 \textless 0
Поскольку D<0, то квадратное уравнение действительных корней не имеет
ответ: 0,1997943262
Пошаговое объяснение:
845130 - 423000 = 422130
423000 × 9 = 3807000
4221300 - 3807000 = 414300
423000 × 9 = 3807000
4143000 - 3807000 = 336000
423000 × 7 = 2961000
3360000 - 2961000 = 399000
423000 × 9 = 3807000
3990000 - 3807000 = 183000
423000 × 4 = 1692000
1830000 - 1692000 = 138000
423000 × 3 = 1269000
1380000 - 1269000 = 111000
423000 × 2 = 846000
1110000 - 846000 = 264000
423000 × 6 = 2538000
2640000 - 2538000 = 102000
423000 × 2 = 846000
1020000 - 846000 = 174000
423000 × 4 = 1692000
1740000 - 1692000 = 48000
423000 × 1 = 423000
480000 - 423000 = 57000
423000 × 1 = 423000
570000 - 423000 = 147000
423000 × 3 = 1269000
1470000 - 1269000 = 201000
423000 × 4 = 1692000
2010000 - 1692000 = 318000
423000 × 7 = 2961000
3180000 - 2961000 = 219000
423000 × 5 = 2115000
2190000 - 2115000 = 75000
423000 × 1 = 423000
750000 - 423000 = 327000
423000 × 7 = 2961000
3270000 - 2961000 = 309000
423000 × 7 = 2961000
3090000 - 2961000 = 129000
423000 × 3 = 1269000
1290000 - 1269000 = 21000
423000 × 4 = 1692000
2100000 - 1692000 = 408000
423000 × 9 = 3807000
4080000 - 3807000 = 273000
423000 × 6 = 2538000
2730000 - 2538000 = 192000
423000 × 4 = 1692000
1920000 - 1692000 = 228000
423000 × 5 = 2115000
2280000 - 2115000 = 165000
423000 × 3 = 1269000
1650000 - 1269000 = 381000
423000 × 9 = 3807000
3810000 - 3807000 = 3000
423000 × 7 = 2961000
3000000 - 2961000 = 39000
423000 × 9 = 3807000
3900000 - 3807000 = 93000
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