X=3+root5 then find the value of x^2+1/x^2
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⭐⭐⭐⭐⭐ 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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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]
==================================
⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐
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