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If a + 1/a = 10, find |a² + 1/(a²)|?

Science & Mathematics by Anonymous 2018-05-25 11:05:32

Social Science

If a + 1/a = 10, find |a² + 1/(a²)|?

3 answers

  • Anonymous

    98

  • Anonymous

    a + 1/a = 10 a² + 1/a² = (a + 1/a)² - 2 = 98

  • Anonymous

    (a+1/a) = 10 (a+1/a)^2 = 100 a^2 +1/a^2 +(2)(a)(1/a) = 100 a^2+1/a^2 + 2 = 100 a^2 +1/a^2 = 100-2 a^2 +1/a^2 = 98 Note: a^2+1/a^2 is always positive so you don't need an | | sign.

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