Question 903856
{{{x^4 = 625}}}


{{{x^4 - 625 = 0}}}


{{{(x^2)^2 - (25)^2 = 0}}}


{{{(x^2 - 25)(x^2 + 25) = 0}}}


{{{(x - 5)(x + 5)(x^2 + 25) = 0}}}


{{{x - 5 = 0}}}, {{{x + 5 = 0}}}, {{{x^2 + 25 = 0}}}


{{{x=5}}}, {{{x = -5}}}, {{{x = 5i}}} or {{{x = -5i}}}


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Side Note: solving {{{x^2 + 25 = 0}}} gives {{{x = 5i}}} or {{{x = -5i}}}


Further breakdown of why that is true


{{{x^2 + 25 = 0}}}


{{{x^2 = -25}}}


{{{x = sqrt(-25)}}} or {{{x = -sqrt(-25)}}}


{{{x = sqrt(-1*25)}}} or {{{x = -sqrt(-1*25)}}}


{{{x = sqrt(-1)*sqrt(25)}}} or {{{x = -sqrt(-1)*sqrt(25)}}}


{{{x = i*5}}} or {{{x = -i*5}}}


{{{x = 5i}}} or {{{x = -5i}}}