Question 1(v)
Check whether the following are quadratic equations:
$(v) (2 x - 1) (x - 3) = (x + 5) (x - 1)$

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Solution

$(v) (2 x - 1) (x - 3) = (x + 5) (x - 1) \Rightarrow 2 x^{2} - 7 x + 3 = x^{2} + 4 x - 5 \Rightarrow x^{2} - 11 x + 8 = 0$
It is of the form $a x^{2} + b x + c = 0$
Hence, the given equation is quadratic equation.

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