CBSE Class 9 Answered
13. If x = (2 + sqrt(3)) find the value of x ^ 2 + 1/(x ^ 2)
Asked by monika.vns14 | 18 Apr, 2024, 17:15: PM
Expert Answer
x = 2 + √3
x2 = ( 2 + √3 )2 = 4 + 3 + 4 √3 = 7 + 4√3
1/x2 = ( 2 - √3 )2 = 4 + 3 - 4 √3 = 7 - 4√3
x2 + (1/x)2 = ( 7 + 4√3 ) + ( 7 - 4√3 ) = 14
Answered by Thiyagarajan K | 18 Apr, 2024, 22:58: PM
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