Answer:
Transform the equation to a standard form
[tex]2x^2-3x+7=0[/tex]
Solve the discriminant by getting its a,b,c
[tex]a=2\\b=-3\\c=7[/tex]
[tex]b^2-4ac[/tex]
[tex]-3^2-4(2)(7)[/tex]
[tex]9-72[/tex]
[tex]-63[/tex]
since its discriminant is ∠0 or less than 0
nature of roots: the roots are imaginary
Step-by-step explanation: