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Pls solve this thanks |
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Answer» -step EXPLANATION:x = (3 - √5)/2=> 1/x = 2/(3 - √5) × (3 + √5)/(3 + √5)=> [2(3 +√5)] / 9 - 5=> 2(3 +√5) / 4=> (3 + √5)/2x + 1/x = (3 - √5)/2 + (3 + √5)/2 => (3 - √5 +3 + √5)/2 => 6/2 => 3[x + 1/x]³ = x³ + 1/x³ + 3 * 1/x * x [ x + 1/x ] => 27 = x³ + 1/x³ + 3 [3 ] => 27 = x³ + 1/x³ + 9 => x³ + 1/x³ = 18now [x³ + 1/x³]² = x⁶ + 1/x⁶ + 2*x³*1/x³ => 18² = x⁶ + 1/x⁶ + 2therefore x⁶ + 1/x⁶ = 324 - 2 => 322 |
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