Question

. Check whether the following are quadratic equations: i) (2x – 1) (x – 3) = (x + 5) (x – 1)

Answer 1

Answer:

Yes, it is a Quadratic equation

Step-by-step explanation:

$(2x - 1)(x - 3) = (x + 5)(x - 1) \\ 2 {x}^{2} - 6x - x + 3 = {x}^{2} - x + 5x - 5 \\ 2 {x}^{2} - 7x + 3 = {x}^{2} + 4x - 5 \\ 2 {x}^{2} - 7x + 3 - {x}^{2} - 4x + 5 = 0 \\ {x}^{2} - 11x + 8 = 0 \\ Therefore, \: it \: is \: a \: quadratic \: equation$

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