Q1 of 58 Page 106

Check whether the following are quadratic equation:

(2x - 1) (x - 3) = (x + 5)(x - 1)

(2x - 1) (x - 3) = (x + 5)(x - 1)

Here LHS = (2x – 1)(x - 3) = 2x2 –x - 6x + 3 = 2x2 - 7x + 3


RHS = (x + 5)(x - 1) = x2 + 5x – x - 5 = x2 + 4x - 5


Equating LHS and RHS


2x2 - 7x + 3 = x2 + 4x - 5


x2 – 11x + 8 = 0


which is of the form ax2 + bx + c = 0


∴ it is a quadratic equation.


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