Question

Solve $2x^2-5x+3=0$.

Answer 1

$x^2-\frac{5x}{2}+\frac{3}{2}=0$

$x^2-\frac{10x}{4}+\frac{25}{16}-\frac{25}{16}+\frac{3}{2}=0$

$(x-\frac{5}{2}{)}^2=\frac{1}{16}$

$(x-\frac{5}{2})=\pm \frac{1}{4}$

$x=\frac{11}{4}$ or $\frac{9}{4}$