Q. 1 E4.0( 2 Votes )

Examine whether the following equations are quadratic equations or not:

(2x + 1)(2x — 1) = (4x + 3)(x — 5)

Answer :

For L.H.S use formula (a + b)(a – b) = a2 – b2


4x2 – 1 = 4x2 – 20x + 3x – 15


– 1 = – 17x – 15


– 1 + 17x + 15 = 0


17x + 14 = 0


0x2 + 17x + 14 = 0


Comparing equation 0x2 + 17x + 14 = 0 with ax2 + bx + c = 0 we get


a = 0, b = 17 and c = 14


Here a, b, c R but a = 0


Therefore, the degree of polynomial 0x2 + 17x + 14 = 0 becomes 1


Hence (2x + 1)(2x — 1) = (4x + 3)(x — 5) is not a quadratic equation


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