The given expression is
[tex]3x^2 -8x +5 = 5x^2[/tex]
We have to find the discriminant first . And for that, first we need to move whole terms of the left side to right side, that is
[tex]5x^2 -3x^2 +8x -5=0[/tex]
[tex]2x^2+ 8x -5 =0[/tex]
The formula of discriminant is
[tex]D =b^2 -4ac[/tex]
Substituting the values of a,b and c, we will get
[tex]D = 8^2 -4(2)(-5)=64+40 = 104[/tex]
And since the discriminant is greater than 0, or it is positive so we have two real roots.
Therefore the correct option is B .
