Question

If x²+1/x²=53, then the value of x-1/x

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Answer 1

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ɢɪᴠᴇɴ :

➨ x²+1/x²=53

ᴛᴏ ғɪɴᴅ :

$➨x \: - \: \frac{1}{x}$

sᴏʟᴜᴛɪᴏɴ:

$➨ ({x \: - \: \frac{1}{x}})^2 = {x}^{2} + \frac{1}{ {x}^{2} } - 2$

$➨ ({x \: - \: \frac{1}{x}})^2 =53 - 2$

$➨ ({x \: - \: \frac{1}{x}}) = \sqrt{51}$