1.

Solve : x (2x + 5) = 3.

Answer»

x (2x + 5) = 3 ⇒ 2x2 + 5x = 3

⇒ 2x2 + 5x - 3 = 0 ⇒ 2x2 + 6x - x - 3 = 0

⇒ 2x (x + 3) - 1 (x + 3) = 0

⇒ (2x - 1)(x + 3) = 0 ⇒ (2x - 1) = 0 or (x + 3) = 0

⇒ x = \(\frac12\) or x = - 3

∴  x = \(\frac12\), -3.



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