Question

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

Answer 1

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