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in Quadratic Equations by (41.6k points)
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Find the roots of x + 6/x = 7, x ≠ 0

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x + \(\frac{6}{x}\) = 7 ⇒ \(\frac{x^2+6}{x}\) = 7 

⇒ x2 – 7x + 6 =0 

⇒ (x – 6) (x – 1) = 0 

⇒ x = 6 or 1 

Roots = 6, 1

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