Question

Найдите корень уранения

Answer 1

Ответ:

$\boxed{x_{1} = 0;x_{2} = 7}$

Объяснение:

$x^{4} + 22 = 4x^{6} - 28x^{5} + x^{4} + 22$

$4x^{6} - 28x^{5} = 0$

$4x^{5}(x - 7) = 0$

$4x^{5} = 0|:4; x -7 = 0$

$x^{5} = 0;x =7$

$x_{1} = 0;x_{2} = 7$

Answer 2

$\bf~x^4+22=4x^6-28x^5+x^4+22~;\\x^4-x^4=22-22+4x^6-28x^5~;\\0=0+4x^6-28x^5~;\\-4x^6+28x^5=0~;\\-4x^5\cdot(x-7)=0~~~|:(-4)\Rightarrow\\x^5\cdot(x-7)=0~;\\1)~~x^5=0\Rightarrow~x_1=0~;\\2)~~x-7=0\Rightarrow~x_2=7~.$