Question

sum of a number and its reciprocal is 3(1/2) find the sum of square s of the number and its reciprocal​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

10$\frac{1}{4}$

Step-by-step explanation:

let x be the number,

given that x + (1/x)  = 3$\frac{1}{2}$ = 7/2

find x²+(1/x²)

consider (x + $\frac{1}{x}$)² = $(\frac{7}{2} )^2$

=> x² + 2(x)(1/x) + ($\frac{1}{x}$)² = 49/4

=> x²+$\frac{1}{x^2}$ + 2 = 49/4

=> x²+$\frac{1}{x^2}$ = $\frac{49}{4} - 2$

=> x²+$\frac{1}{x^2}$ = $\frac{49-8}{4}$

=> x²+$\frac{1}{x^2}$ = $\frac{41}{4}$ = 10$\frac{1}{4}$