If x×x +1/x×x =23 find the values of x-1/x
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Answer :
√21
Step-by-step explanation :
x² + 1 / x² = 23
On subtracting 2 both the sides.
⇒ x² + 1 / x² - 2 = 23 - 2
⇒ x² + 1 / x² - 2 * x * 1 / x = 21
Using identity here,
( a² + b² - 2ab ) = ( a - b )²
⇒ ( x - 1 / x )² = 21
⇒ ( x - 1 / x ) = √21
Hence, the value of ( x - 1/x ) is √21.
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