20 pts
im checking my answer I think its one rational solution
Describe the number and type of solution of the following equation. 6x2 − 7x − 5 = 0

No solutions.

One rational solution.

Two rational solutions.

Two irrational solutions.

The answer to your question is Two rational solutions

Step-by-step explanation:

Quadratic equation

                                 6x² - 7x - 5 = 0

Process

- Multiply 6 by -5

                               6 x -5 = -30

- Find the prime factors of -30

                                -30   2

                                -15    3

                               -  5     5

                                   1

- Find to numbers that added gives -7

        this numbers are    (2 x 5) = -10    and   + 3

- Write this numbers in the equation instead of -7

                          6x² - 10x + 3x - 5

-Factor using like terms

                          2x(3x - 5) + 1(3x - 5)

                          (3x - 5)(2x + 1)

- Equal to zero

                          3x - 5 = 0           2x + 1 = 0

                            x₁ = 5/3               x₂ = -1/2

- Conclusion two rational solutions

5y

step-by-step explanation: