Answer:
Value of D=73
D is positive that means the roots are real and distinct.
Step-by-step explanation:
We have been given a quadratic equation:
[tex]2x^2-3x+8[/tex]
We have to find its dicsriminant which is [tex]D=b^2-4ac[/tex]
Here, a=-2 , b=-3 and c=8 on comparing with the general equation [tex]ax^2+bx+c=0[/tex]
On substituting the values in the formula of discriminant we get:
[tex]D=(-3)^2-4(-2)(8)[/tex]
[tex]\Rightarrow D=9+64=73[/tex]
Value of D=73
If D is positive that means the roots are real and distinct.