Answer:
A: [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]\mathrm{The\:roots\:are\:the\:intercepts\:with\:the\:x-axis}\:\left(y=0\right)[/tex]
[tex]2x-3=0[/tex]
[tex]\mathrm{Add\:}3\mathrm{\:to\:both\:sides}[/tex]
[tex]2x-3+3=0+3[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]2x=3[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2}=\frac{3}{2}[/tex]
[tex]Simplify[/tex]
[tex]x=\frac{3}{2}[/tex]
