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If a + 1a = m and a ≠ 0; find in terms of 'm'; the value of a2-1a2. - Mathematics

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प्रश्न

If a + `1/a` = m and a ≠ 0; find in terms of 'm'; the value of `a^2 - 1/a^2`.

योग

उत्तर

`a^2 - 1/a^2 = ( a + 1/a )(a - 1/a )`         ...[Since a2 - b2 = (a + b)(a - b)]

= `m(+- sqrt(m^2 - 4) )`

= `+-msqrt(m^2 - 4)`

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Expansion of Formula
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Expansions (Including Substitution) - Exercise 4 (D) [पृष्ठ ६४]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 4 Expansions (Including Substitution)
Exercise 4 (D) | Q 2.2 | पृष्ठ ६४
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