Question

Check whether the following in quadratic equation.
$(x-3)(2x+1)=x(x=5)$

Answer 1

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

$\Rightarrow$ $2x^2+x-6x-3=x^2-5x$

$\Rightarrow$ $2x^2+x-6x-3-x^2+5x=0$

$\Rightarrow$ $x^2-3=0$

$\Rightarrow$ A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared

$\Rightarrow$ Comparing given equation with standard form of quadratic equation $a{x}^2+bx+c=0.$

$\Rightarrow$ We get, $a=1,b=0,c=3$

$\therefore$ Given equation is quadratic equation