The discriminant is the part inside the root in the quadratic equation
[tex]b^2-4ac[/tex]if this expression gives a value equal to 0 then the equation has one real solution, if it gives a value greater than 0 then the equation has 2 real solutions and lastly if the values is less than 0 means that there are no real solutions.
a=5
b=3
c=-7
[tex]\begin{gathered} b^2-4ac \\ (3)^2-4\cdot(5)\cdot(-7) \\ 9-(-140) \\ 9+140 \\ 149 \\ 149>0 \end{gathered}[/tex]The equation has 2 real solutions.
