![4 + \sqrt[5]{ 2^{6}* y^{2}} = \sqrt[5]{ 2^{7}* y^{4}} \\ 4+2 \sqrt[5]{2 y^{2} } =2 \sqrt[5]{ 2*2*y^{2}* y \\ ^{2} } \\ \sqrt[5]{2 y^{2} } = a \\ 4+2a= 2*a*a \\ 4+2a -2 a^{2} =0 \\ a^{2}-a-2=0](https://tex.z-dn.net/?f=4+%2B+%5Csqrt%5B5%5D%7B+2%5E%7B6%7D%2A+y%5E%7B2%7D%7D+%3D+%5Csqrt%5B5%5D%7B+2%5E%7B7%7D%2A+y%5E%7B4%7D%7D++%5C%5C+4%2B2++%5Csqrt%5B5%5D%7B2+y%5E%7B2%7D+%7D+%3D2+%5Csqrt%5B5%5D%7B+2%2A2%2Ay%5E%7B2%7D%2A+y+%5C%5C+%5E%7B2%7D++%7D++%5C%5C++%5Csqrt%5B5%5D%7B2+y%5E%7B2%7D+%7D+%3D+a+%5C%5C+4%2B2a%3D+2%2Aa%2Aa+%5C%5C+4%2B2a+-2+a%5E%7B2%7D+%3D0+%5C%5C++a%5E%7B2%7D-a-2%3D0++)
Разделили уравнение на 2
x² - x - 2 = 0
Найдем дискриминант квадратного уравнения:
D = (-1)2 - 4·1·(-2) = 1 + 8 = 9
a1 = (1 - √9)/2·1 = -1
a2 = (1 + √9)/2·1 = 2
![\sqrt[5]{2 y^{2} }= -1 \\ (\sqrt[5]{2 y^{2} }) ^{5} = -1^{5} \\ 2 y^{2} = -1 \\ y^{2} = - \frac{1}{2} \\ \sqrt[5]{2 y^{2} }= 2 \\ (\sqrt[5]{2 y^{2} }) ^{5} = 2^{5} \\ 2 y^{2} = 32 \\ y^{2} = \frac{32}{2} \\ y^{2} = 16 \\ y = \sqrt{16} \\ y1 =4 \\ y2=-4](https://tex.z-dn.net/?f=+%5Csqrt%5B5%5D%7B2+y%5E%7B2%7D+%7D%3D+-1+%5C%5C+++%28%5Csqrt%5B5%5D%7B2+y%5E%7B2%7D+%7D%29+%5E%7B5%7D+%3D++-1%5E%7B5%7D++++%5C%5C+2+y%5E%7B2%7D+%3D+-1%C2%A0+%C2%A0%C2%A0%5C%5C++y%5E%7B2%7D+%3D+-+%5Cfrac%7B1%7D%7B2%7D++%5C%5C++%5Csqrt%5B5%5D%7B2+y%5E%7B2%7D+%7D%3D+2+%5C%5C+++%28%5Csqrt%5B5%5D%7B2+y%5E%7B2%7D+%7D%29+%5E%7B5%7D+%3D++2%5E%7B5%7D++++%5C%5C+2+y%5E%7B2%7D+%3D+32+%5C%5C++y%5E%7B2%7D+%3D++%5Cfrac%7B32%7D%7B2%7D++%5C%5C++y%5E%7B2%7D+%3D+16+%5C%5C+y+%3D+%5Csqrt%7B16%7D++++%5C%5C+y1+%3D4+%5C%5C+y2%3D-4)
Там где у² = -1/2 надо написать, у² ≥ 0, не имеет решения
2.6*3=7,8 м2
7.8*10000=78000 см2
или 2,6*100=260 см и 3*100=300,
260*300=78000см2 площдь стены
20*20=400 см2
78000:400=195 штук
(x-1)(x-6)(x+6)(4x-3)≥0
x-1=0
x1 = 1
x - 6 = 0
x2 = 6
x + 6 = 0
x3 = -6
4x - 3 = 0
x4 = 3/4
+ - + -
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-6 3/4 1 6 x
x∈(- ≈; - 6) (3/4; 1) (6; + ≈)
у=1,5х
Решение приведено во вложенном файле, сейчас всё поясню.
{7X+6y=6|*4
{3X+4y=9|*6
-{28x+24y=24
-{18x+24y=54
10x=-30|:10
x=-3
-21+6y=6
6y=6+21
6y=27|:6
y=4,5
