[tex] {x}^{4} + 5 {x}^{2} - 36 = 0 \\ \\ {y}^{2} + 5y - 36 = 0 \\ d = {5}^{2} - 4 \times ( - 36) = 25 + 144 = 169 \\ x = = \frac{ - 5 + 13}{2} = \frac{8}{2} = 4 \\ x = \frac{ - 5 - 13}{2} = \frac{ - 18}{2} = - 9 \\ {x}^{2} = - 9 \\ {x}^{2} = 4[/tex]
Квадрат числа не може бути від'ємним числом, тому
[tex] {x}^{2} = 4 \\ x = 2 \\ x = - 2[/tex]
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[tex] {x}^{4} + 5 {x}^{2} - 36 = 0 \\ \\ {y}^{2} + 5y - 36 = 0 \\ d = {5}^{2} - 4 \times ( - 36) = 25 + 144 = 169 \\ x = = \frac{ - 5 + 13}{2} = \frac{8}{2} = 4 \\ x = \frac{ - 5 - 13}{2} = \frac{ - 18}{2} = - 9 \\ {x}^{2} = - 9 \\ {x}^{2} = 4[/tex]
Квадрат числа не може бути від'ємним числом, тому
[tex] {x}^{2} = 4 \\ x = 2 \\ x = - 2[/tex]