if,
x²+2x+1=0
find x+1/x
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Given:
- x² + 2x + 1 = 0
To Find:
- x + 1/x
Solution:
⇒ x² + 2x + 1 = 0
⇒ x² + x + x + 1 = 0
⇒ x(x + 1) + 1(x + 1) = 0
⇒ (x + 1)(x + 1) = 0
⇒ x = -1
So,
⇒ x + 1/x
⇒ (-1) + 1/(-1)
⇒ -1 - 1
⇒ -2
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