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Quadratic Equations
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29/05/2021 12:15 pm
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Check whether the following are quadratic equations:
(i) (x – 2)(x + 1) = (x – 1)(x + 3)
(ii) (x – 3)(2x +1) = x(x + 5)
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29/05/2021 12:16 pm
(i) Given, (x – 2)(x + 1) = (x – 1)(x + 3)
By using the formula for (a + b)2 = a2+2ab+b2
⇒ x2 – x – 2 = x2 + 2x – 3
⇒ 3x – 1 = 0
Since the above equation is not in the form of ax2 + bx + c = 0.
Therefore, the given equation is not a quadratic equation.
(ii) Given, (x – 3)(2x +1) = x(x + 5)
By using the formula for (a + b)2 = a2+2ab+b2
⇒ 2x2 – 5x – 3 = x2 + 5x
⇒ x2 – 10x – 3 = 0
Since the above equation is in the form of ax2 + bx + c = 0.
Therefore, the given equation is quadratic equation.