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Q.17. If x = 3 – √8, find the value of x + 1/x. |
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Answer» +
1 =? ⇒( x + x
1 ) =x+ x 1 +2 x ( x
1 ) =5+2 6 + 5+2 6
1 +2 =5+2 6 + 5+2 6
1 × 5−2 6
5−2 6
+2 =7+2 6 + 5 2 −(2 6 ) 2
5−2 6
=7+2 6 + 25−24 5−2 6
=7+2 6 +5−2 6 =12 ∴ x + x
1 = 12 =2 3 |
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