If x + 1/x=7
then what is the value of x^4 + 1/x^4
a)2209
b)2401
c)2207
d)1245
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Answer:
c) 2207
Step-by-step explanation:
x + 1/x = 7
on squaring both the sides,
x² + 1/x² + 2 = 49
x² + 1/x² = 47
again on squaring both the sides,
x⁴ + 1/x⁴ + 2 = 2209
x⁴ + 1/x⁴ = 2207
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