If x = 3-2√2 .find x⁴-(1/x⁴)
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Answer:
(316- 204√2) - 1( 316 - 204√2)
Step-by-step explanation:
Given ,
x = 3-2√2
therefore ,
= (3-2√2)^4 - 1/(3-2√2)^4
= (9 + 4×2 - 6√2)^2 - 1/(9 + 4×2 - 6√2)^2
= (17- 6√2)^2 - 1/(17- 6√2)^2
= (289 + 36×2 - 204√2) - 1/(289 + 36×2 - 204√2)
= (316- 204√2) - 1( 316 - 204√2)
you can also take LCM and solve further .
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