Mathematics
ms91220
2021-01-13 23:24:12
x+ 1/x =5 what is the value x²+1/x²?
ANSWERS
daniela78
2021-01-13 23:29:52

x+ 1/x= 5 ⇒ (x+ 1/x)^2= 5^2 ⇒ (x+ 1/x)^2= 25 ⇒ x^2+ 2(x)(1/x)+ 1/x^2= 25 ⇒ (x^2+ 1/x^2)+ 2*1= 25 ⇒ x^2+ 1/x^2= 25 -2 ⇒ x^2+ 1/x^2= 23 The final answer is 23~

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