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Find the roots of the following quadratic equation by factorisation,x - 3/x = 2 |
Answer» Given: x – \(\frac{3}{x}\) = 2 ⇒ \(\frac{x^2-3}{x}\)= 2 ⇒ x2 – 3 = 2x ⇒ x2 – 2x – 3 = 0 ⇒ x2 – 3x + x – 3 = 0 ⇒ x(x – 3) + 1(x – 3) = 0 ⇒ (x – 3) (x + 1) = 0 ⇒ (x – 3) = 0 or (x + 1) = 0 ⇒ x = 3 or x = -1 ⇒ x = 3 or -1 are the roots of the given Q.E. |
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