# solve polynomial equation by factoring

x^4 +100 = 29x^2

## let z = x^2

z^2 - 29 z + 100 = 0

( Z-25 )( z- 4 ) = 0

z = 25 then x = +5 or -5

or z = 4 then x = +2 or -2

x^4 +100 = 29x^2

z^2 - 29 z + 100 = 0

( Z-25 )( z- 4 ) = 0

z = 25 then x = +5 or -5

or z = 4 then x = +2 or -2