Question 1(ii)
Check whether the following are quadratic equations:
$(i i) x^{2} - 2 x = (- 2) (3 - x)$

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Solution

$(i i) x^{2} - 2 x = (- 2) (3 - x) \Rightarrow x^{2} - 2 x = - 6 + 2 x \Rightarrow x^{2} - 4 x + 6 = 0$
It is of the form $a x^{2} + b x + c = 0$ where $a = 1, b = - 4, c = 6$ in this case.
Hence, the given equation is quadratic equation.

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