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Solve the Following Equation: X2 + (A + 1/A)X + 1 = 0 - Mathematics

Sum

Solve the following equation:  `x^2 + (a + 1/a)x + 1 = 0`

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Solution

`x^2 + (a + 1/a)x + 1 = 0`

`x^2 + ax + 1/a x + 1 = 0`

`x (x + a) + 1/a (x + a) = 0`

`(x + a)(x + 1/a) = 0`

x = -a , x = `- 1/a`

  Is there an error in this question or solution?
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APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 6 Quadratic Equations
Exercise 6.1 | Q 34
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