Question

X=3+root5 then find the value of x^2+1/x^2

Answer 1

⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐

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Given, x = 3+√5.

So, 1/x = (3-√5)/4.

Thus, x²+1/x²

= (3+√5)² + {(3-√5)/4}²

= 14+6√5+{(7-3√5)/8}

= (112+48√5+7-3√5)/8

= [ {119+√5(48-3)}/8 ]

= (119+45√5)/8 [REQUIRED ANSWER]


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⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐

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