Given the trinomial 5x2 - 2x - 3, predict the type of solutions.

two rational solutions
one rational solution
two irrational solutions
two complex solutions

The type of solutions is:

The trinomial expression is given by:

The solution is the possible values of x where the expression is equal to 0.

i.e.

On solving the equation using quadratic formula.

i.e. any quadratic equation of the form:

has the solution of the type:

On comparing our equation with the general quadratic equation we have:

a=5 , b= -2 and c= -3

Hence, the solution is given by:

Hence, we get that both the solutions are rational solutions.

( Since  a rational number is a number which could be represented in the form of p/q where p belongs to integers and q belongs to natural numbers)