1). If x + 1/x = - 4, then find the value of
x^2 + 1/x^2.
2). If x + 1/x = 6, then find the value of
x^4 + 1/x^4
ASAP
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1 ). Squaring both sides,
( x + 1/x) ^2 = - 4 ^2
x^2 + 1/x^2 + 2 = 16
x^2 + 1/x^2 = 16 - 2 = 14
Answer = 14
2 ). Squaring both sides,
( x + 1/x) ^2 = 6^2
x^2 + 1/x^2 + 2 = 36
x^2 + 1 /x^2 = 36 - 2 = 34
Again squaring both sides,
( x^2 + 1/x^2)^2 = 34^2
x^4 + 1/x^4 + 2 = 1156
x^4 + 1/x^4 = 1156 - 2 = 1154
Answer : 1154
( x + 1/x) ^2 = - 4 ^2
x^2 + 1/x^2 + 2 = 16
x^2 + 1/x^2 = 16 - 2 = 14
Answer = 14
2 ). Squaring both sides,
( x + 1/x) ^2 = 6^2
x^2 + 1/x^2 + 2 = 36
x^2 + 1 /x^2 = 36 - 2 = 34
Again squaring both sides,
( x^2 + 1/x^2)^2 = 34^2
x^4 + 1/x^4 + 2 = 1156
x^4 + 1/x^4 = 1156 - 2 = 1154
Answer : 1154
imav:
thank you very much yar
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this is your answer hope it helps
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