Mathematics

Find which of the following equations are quadratic :

(x - 4)(3x + 1) = (3x - 1)(x + 2)

Quadratic Equations

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Answer

(x - 4)(3x + 1) = (3x - 1)(x + 2)

⇒ 3x2 + x - 12x - 4 = 3x2 + 6x - x - 2

⇒ 3x2 - 3x2 - 11x - 5x - 4 + 2 = 0

⇒ -16x - 2 = 0

⇒ 16x + 2 = 0 which is not of the form ax2 + bx + c = 0.

∴ Given equation is not a quadratic equation.

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