2 + 5 omega square plus 2omega square whole to the power 6 = 729
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(2+5w²+2w²)^6=729
(2+7w²)^6=729
2+7w²=729^(1/6)
2+7w²=+3 or -3
taking postive 3
2+7w²=3
7w²=1
w²=1/7
w=+√(1/7) and -√(1/7)
taking -ve 3
2+7w²=-3
7w²=-5
w²=-5/7
not possible.
therefore w=+√(1/7)and -√(1/7)
(2+7w²)^6=729
2+7w²=729^(1/6)
2+7w²=+3 or -3
taking postive 3
2+7w²=3
7w²=1
w²=1/7
w=+√(1/7) and -√(1/7)
taking -ve 3
2+7w²=-3
7w²=-5
w²=-5/7
not possible.
therefore w=+√(1/7)and -√(1/7)
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