Question

Solve:
$2\left(x^2+1\right)=5x$

Answer 1

$2(x^2+1)=8x$

$\Rightarrow 2x^2+2=5x$

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

$\Rightarrow 2x^2-4x-x+2=0$

$\Rightarrow 2x(x-2)-1(x-2)=0$

$\Rightarrow (x-2)(2x-1)=0$

$\Rightarrow (x-2)=0$ or $(2x-1)=0$

$\Rightarrow x=2$ or $x=1/2$

$\therefore x=2$ or $1/2$

roots are $2$ and $1/2$