it's a challenging question please try to make it
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Let
![t = {x}^{4} t = {x}^{4}](https://tex.z-dn.net/?f=t+%3D+%7Bx%7D%5E%7B4%7D+)
So, the equation will be
![{t}^{2} + t + 1 = 0 {t}^{2} + t + 1 = 0](https://tex.z-dn.net/?f=+%7Bt%7D%5E%7B2%7D+%2B+t+%2B+1+%3D+0)
![t = \frac{ - 1 + \sqrt{ - 3} }{2} \: \: or \: \: t = \frac{ - 1 - \sqrt{ - 3} }{2} t = \frac{ - 1 + \sqrt{ - 3} }{2} \: \: or \: \: t = \frac{ - 1 - \sqrt{ - 3} }{2}](https://tex.z-dn.net/?f=t+%3D+%5Cfrac%7B+-+1+%2B+%5Csqrt%7B+-+3%7D+%7D%7B2%7D+%5C%3A+%5C%3A+or+%5C%3A+%5C%3A+t+%3D+%5Cfrac%7B+-+1+-+%5Csqrt%7B+-+3%7D+%7D%7B2%7D)
![(t -(\frac{ - 1 + \sqrt{ - 3} }{2}))(t - (\frac{ - 1 - \sqrt{ - 3} }{2})) = 0 (t -(\frac{ - 1 + \sqrt{ - 3} }{2}))(t - (\frac{ - 1 - \sqrt{ - 3} }{2})) = 0](https://tex.z-dn.net/?f=%28t+-%28%5Cfrac%7B+-+1+%2B+%5Csqrt%7B+-+3%7D+%7D%7B2%7D%29%29%28t+-+%28%5Cfrac%7B+-+1+-+%5Csqrt%7B+-+3%7D+%7D%7B2%7D%29%29+%3D+0)
![({x}^{4} -(\frac{ - 1 + \sqrt{ - 3} }{2}))({x}^{4} - (\frac{ - 1 - \sqrt{ - 3} }{2})) = 0 ({x}^{4} -(\frac{ - 1 + \sqrt{ - 3} }{2}))({x}^{4} - (\frac{ - 1 - \sqrt{ - 3} }{2})) = 0](https://tex.z-dn.net/?f=%28%7Bx%7D%5E%7B4%7D+-%28%5Cfrac%7B+-+1+%2B+%5Csqrt%7B+-+3%7D+%7D%7B2%7D%29%29%28%7Bx%7D%5E%7B4%7D+-+%28%5Cfrac%7B+-+1+-+%5Csqrt%7B+-+3%7D+%7D%7B2%7D%29%29+%3D+0)
"Thanks"
So, the equation will be
"Thanks"
andrew4411:
plese do it in copy its not understandable please do it in copy
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