if x minus one by X equals to 7 evaluate X ^4 + 1 by x ^4
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Answer:2599
step by step explanation:
given:X-1/X=7
X^4+1/X^4=?
by squaring on both sides of equation 1
we get
(X-1/X)^2=(7)^2
( X - 1/X )^2 =49
(X + 1/X)^2 -4 =49
(X + 1/X)^2=53
X^2 + 1/X^2 +2 =53
X^2 + 1/X^2 =51
(X^2 + 1/X^2)^2 =(51)^2
X^4 + 1/X^4 +2 = 2601
X^4 + 1/X^4 = 2601 - 2
Therefore the answer is X^4+1/X^4 =2599
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