x^2 + x ^2 = 98 , then find x - 1/x
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Answer:
=> ( x + 1/x )^2 = x^2 + 1/x^2 + 2 * x * 1/x
=> ( x + 1/x )^2 = 98 + 2
=> ( x + 1/x )^2 = 100
=> x + 1/x = √100 = 10
=> x + 1/x = 10 Ans.☑️☑️
=> ( x - 1/x )^2 = x^2 + 1/x^2 - 2 * x * 1/x
=> ( x - 1/x )^2 = 98 - 2
=> ( x - 1/x )^2 = 96
=> x - 1/x = √96
=> x - 1/x = 4√6 Ans☑️☑️
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