Question

x^2+1/x^2=7, then find the value of x+1/x

Answer 1

Answer:

±3

Step-by-step explanation:

x²+(1/x²)=7

2×x²×(1/x²)=2

So,(x+(1/x))²=x²+(1/x²)+2×x²×(1/x²) = 7+2 =9

=> x+(1/x)=√9

=> x+(1/x)=±3

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