Question

determine o conjunto soluçao das funçoes biquadrada x⁴-2x-8=0

Answer 1

x2*x2-2x-8=0[x4=x2×x2

k.k-2k-8=0[x2=k

k2-2k-8=0[x2=4] [x=√4=2+-

a=1
b=-2
c=-8

k=b+-√b2-4×a×c
----------->
2×a



k=-(-2)+-√(-2)2-4×1×(-8)
------------>
2×1

k=2+-√4+32
--------->
2

k=2+-√36
--------->
2



k=2+-6
------->
2


k1=2+6=8
-------->
2
8÷2=4


k2=2-6=-4(x2=-2). (x=√-2=não existe €€
----->
2
-4÷2=-2