If x=5-√21/2,find the value of (1)x+1/x (2)x²+1/x²

1.	If x=5-√21/2,find the value of (1)x+1/x (2)x²+1/x²
Answer» Step-by-step explanation:Given ,x = (5 - √21)/21/x = 2/(5 -√21)=2(5 + √21)/(5 -√21)(5 + √21)= (5 + √21)/2hence,x + 1/x = (5 -√21)/2 + (5+√21)/2 =5x² + 1/x² = (x + 1/x)² -2x.1/x= (x + 1/x)² -2=(5)² -2= 23

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