Question

How do you find the discriminant and how many solutions does `-3p^2 + 17p =20` have?

Answer 1

Every quadratic equation has two solutions. Either both are real, or imaginary or identical.which depends on its discriminant.

Compare with `ax^2 +bx+c=0` and determine a= -3, b= 17 and c= -20. The discriminant is `b^2-4ac`. Plug in the values, the discriminant would be = 289-240=49.