Question

solve
w^4-12w^2-2=0

Answer 1

\[w ^{2}=x\]

Answer 2

\[x ^{2}-12x-2=0\]

Answer 3

x_1,_2=(12+/- sqrt(144+8))/2 =(12+/- sqrt(152))/2

Answer 4

x_1,_2=(12+/- 2sqrt(38))/2 = 6+/- sqrt(38)

Answer 5

\[w ^{2}= 6-\sqrt(38)\]

Answer 6

w_1,_2= +/- sqrt(6-sqrt38)

Answer 7

\[w ^{2}= 6+ \sqrt(38)\]

Answer 8

w_3,_4= +/- sqrt(6+sqrt(38)