Given the trinomial 5x2 − 2x − 3, predict the type of solutions. Two rational solutions One rational solution Two irrational solutions Two complex solutions

Answer:Option a, two rational solutions.Step-by-step explanation:It is given the trinomial as[tex]5x^2-2x-3[/tex]This is a quadratic equation in standard form.To find the nature of roots let us analyse the discriminant.Discriminant of the quadratic equation=[tex]b^2-4ac\\=(-2)^2-4(-3)(5)\\=4+60\\=64[/tex]Since discriminant is a perfect square, we see that the roots will be rational.Hence two rational solutions is the answer.