if a= 3+√5 ÷2 then find the value of a square +1/a square
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Hii friend,
A = 3+✓5 / 2
Therefore,
A²+1/ A² = (3+✓5)² + 1 / ( 3+✓5)²
= (3)² + (✓5)² + 2 × 3 × ✓5 + 1 / (3)² + ( ✓5)² + 2 × 3 × ✓5
= 9 + 5 + 6✓5 + 1 / 9 + 5 + 6✓5
= 15+6✓5/14+6✓5 Ans.
HOPE IT WILL GET YOU...... :-)
A = 3+✓5 / 2
Therefore,
A²+1/ A² = (3+✓5)² + 1 / ( 3+✓5)²
= (3)² + (✓5)² + 2 × 3 × ✓5 + 1 / (3)² + ( ✓5)² + 2 × 3 × ✓5
= 9 + 5 + 6✓5 + 1 / 9 + 5 + 6✓5
= 15+6✓5/14+6✓5 Ans.
HOPE IT WILL GET YOU...... :-)
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