मराठी

If x + 1/x = 3, "then"  x^2 + 1/x^2 = ______. - Mathematics

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प्रश्न

If `x + 1/x = 3, "then"  x^2 + 1/x^2` = ______.

पर्याय

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MCQ
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उत्तर

If `x + 1/x = 3, "then"  x^2 + 1/x^2` = 7.

Explanation:

`x + 1/x = 3,`

Squaring both sides:

`x^2 + 1/x^2 = (x + 1/x)^2 - 2`

`x^2 + 1/x^2 = (3)^2 - 2`

`x^2 + 1/x^2 = 9-2`

`x^2 + 1/x^2 = 7`

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