Question

X^4 +1/x^4 =6329 find x +1/x

Answer 1

Answer:

x⁴+1/x⁴=6329

(x²+1/x²)²=(x²)²+(1/x²)²+2(x²)(1/x²)

(x²+1/x²)²=x⁴+1/x⁴+2

(x²+1/x²)²=6329+2

(x²+1/x²)²=6331

x²+1/x²=√6331

x²+1/x²=79.56

(x+1/x)²=x²+1/x²+2(x)(1/x)

(x+1/x)²=79.56+2

(x+1/x)²=81.56

x+1/x=√81.56

x+1/x=9.031

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