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प्रश्न
Check whether the following is the quadratic equation:
(2x - 1)(x - 3) = (x + 5)(x - 1)
उत्तर
(2x - 1)(x - 3) = (x + 5)(x - 1)
⇒ 2x2 - 6x - x + 3 = x2 - x + 5x - 5
⇒ 2x2 - 7x + 3 = x2 + 4x - 5
⇒ 2x2 - 7x + 3 - x2 - 4x + 5 = 0
⇒ x2 - 11x + 8 = 0
It is of the form ax2 + bx + c = 0.
Hence, the given equation is quadratic equation.
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