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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, 05:15: PM
answered-by-expert Expert Answer

x = 2 + √3

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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

 

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