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प्रश्न
Solve the following quadratic equation:
`2/x^2 - 5/x + 2 = 0`
बेरीज
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उत्तर
Given:
`2/x^2 - 5/x + 2 = 0`
⇒ 2 – 5x + 2x2 = 0 ...[Multiplying both sides by x2]
⇒ 2x2 – 5x + 2 = 0
⇒ 2x2 – (4x + x) + 2 = 0
⇒ 2x2 – 4x – x + 2 = 0
⇒ 2x(x – 2) – 1(x – 2) = 0
⇒ (2x – 1) (x – 2) = 0
⇒ 2x – 1 = 0 or x – 2 = 0
⇒ x = `1/2` or x = 2
Hence, the roots of the equation are `1/2` and 2.
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